100 or one hundred (
Roman numeral
Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. Numbers are written with combinations of letters from the Latin alphabet, eac ...
: C) is the
natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called ''Cardinal n ...
following
99 and preceding
101.
In medieval contexts, it may be described as the short hundred or five
score in order to differentiate the
English
English usually refers to:
* English language
* English people
English may also refer to:
Peoples, culture, and language
* ''English'', an adjective for something of, from, or related to England
** English national ide ...
and
Germanic use of "hundred" to describe the
long hundred
The long hundred, also known as the great hundred or twelfty, is the number 120 (in base-10 Arabic numerals) that was referred to as "hundred" in Germanic languages prior to the 15th century, and is now known as one hundred twenty, or six score. ...
of six
score or
120.
In mathematics
100 is the square of
10 (in
scientific notation
Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, o ...
it is written as 10
2). The standard
SI prefix
The International System of Units, known by the international abbreviation SI in all languages and sometimes pleonastically as the SI system, is the modern form of the metric system and the world's most widely used system of measurement. E ...
for a hundred is "
hecto-".
100 is the basis of
percentage
In mathematics, a percentage (from la, per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also us ...
s (''per cent'' meaning "per hundred" in Latin), with 100% being a full amount.
100 is a
Harshad number
In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base.
Harshad numbers in base are also known as -harshad (or -Niven) numbers.
Harshad numbers ...
in
decimal
The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...
, and also in base-four, a base in-which it is also a
self-descriptive number
In mathematics, a self-descriptive number is an integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign ( −1, −2, −3, etc.). The negative numbers are the additive inver ...
.
100 is the sum of the first nine
prime number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
s, from
2 through
23. It is also divisible by the number of primes below it,
25.
100 cannot be expressed as the difference between any integer and the total of
coprime
In mathematics, two integers and are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides does not divide , and vice versa. This is equivale ...
s below it, making it a
noncototient In mathematics, a noncototient is a positive integer ''n'' that cannot be expressed as the difference between a positive integer ''m'' and the number of coprime integers below it. That is, ''m'' − φ(''m'') = ''n'', where ...
.
100 has a
reduced totient of 20, and an
Euler totient
In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In o ...
of 40. A totient value of 100 is obtained from four numbers:
101,
125,
202, and
250.
100 can be expressed as a sum of some of its divisors, making it a
semiperfect number
In number theory, a semiperfect number or pseudoperfect number is a natural number ''n'' that is equal to the sum of all or some of its proper divisors. A semiperfect number that is equal to the sum of all its proper divisors is a perfect number.
...
. The
geometric mean
In mathematics, the geometric mean is a mean or average which indicates a central tendency of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean is defined as the ...
of its nine divisors is
10.
100 is the sum of the
cubes
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross.
The cube is the only r ...
of the first four positive
integers
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language o ...
(100 = 1
3 + 2
3 + 3
3 + 4
3). This is related by
Nicomachus's theorem
In number theory, the sum of the first cubes is the square of the th triangular number. That is,
:1^3+2^3+3^3+\cdots+n^3 = \left(1+2+3+\cdots+n\right)^2.
The same equation may be written more compactly using the mathematical notation for summa ...
to the fact that 100 also equals the square of the sum of the first four positive integers: .
100 = 2
6 + 6
2, thus 100 is the seventh
Leyland number In number theory, a Leyland number is a number of the form
:x^y + y^x
where ''x'' and ''y'' are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are
: 8, 17, 32, 54, 57, 100, 145, 177, ...
. 100 is also the seventeenth
Erdős–Woods number In number theory, a positive integer is said to be an Erdős–Woods number if it has the following property:
there exists a positive integer such that in the sequence of consecutive integers, each of the elements has a non-trivial common factor ...
, and the fourth 18-
gonal number.
There are exactly 100 prime numbers in
base-ten whose digits are in strictly ascending order (e.g. 239, 2357 etc.). The last such prime number is 23456789, which contains eight consecutive
integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...
s as digits.
In science
One hundred is the atomic number of
fermium
Fermium is a synthetic element with the symbol Fm and atomic number 100. It is an actinide and the heaviest element that can be formed by neutron bombardment of lighter elements, and hence the last element that can be prepared in macroscopic qua ...
, an
actinide
The actinide () or actinoid () series encompasses the 15 metallic chemical elements with atomic numbers from 89 to 103, actinium through lawrencium. The actinide series derives its name from the first element in the series, actinium. The inform ...
and the last of the
heavy metals
upright=1.2, Crystals of osmium, a heavy metal nearly twice as dense as lead">lead.html" ;"title="osmium, a heavy metal nearly twice as dense as lead">osmium, a heavy metal nearly twice as dense as lead
Heavy metals are generally defined as ...
that can be created through neutron bombardment.
On the
Celsius
The degree Celsius is the unit of temperature on the Celsius scale (originally known as the centigrade scale outside Sweden), one of two temperature scales used in the International System of Units (SI), the other being the Kelvin scale. The ...
scale, 100 degrees is the boiling temperature of pure
water
Water (chemical formula ) is an inorganic, transparent, tasteless, odorless, and nearly colorless chemical substance, which is the main constituent of Earth's hydrosphere and the fluids of all known living organisms (in which it acts as a ...
at
sea level
Mean sea level (MSL, often shortened to sea level) is an average surface level of one or more among Earth's coastal bodies of water from which heights such as elevation may be measured. The global MSL is a type of vertical datuma standardised g ...
.
The
Kármán line
The Kármán line (or von Kármán line ) is an attempt to define a boundary between Earth's atmosphere and outer space, and offers a specific definition set by the Fédération aéronautique internationale (FAI), an international record-keeping ...
lies at an altitude of 100 kilometres above the Earth's sea level and is commonly used to define the boundary between Earth's atmosphere and outer space.
In religion
*There are 100 blasts of the
Shofar
A shofar ( ; from he, שׁוֹפָר, ) is an ancient musical horn typically made of a ram's horn, used for Jewish religious purposes. Like the modern bugle, the shofar lacks pitch-altering devices, with all pitch control done by varying the ...
heard in the service of
Rosh Hashana
Rosh HaShanah ( he, רֹאשׁ הַשָּׁנָה, , literally "head of the year") is the Jewish New Year. The biblical name for this holiday is Yom Teruah (, , lit. "day of shouting/blasting") It is the first of the Jewish High Holy Days (, , " ...
, the Jewish New Year.
*A religious Jew is expected to utter at least 100 blessings daily.
*In the
Hindu
Hindus (; ) are people who religiously adhere to Hinduism.Jeffery D. Long (2007), A Vision for Hinduism, IB Tauris, , pages 35–37 Historically, the term has also been used as a geographical, cultural, and later religious identifier for ...
epic of the
Mahabharata
The ''Mahābhārata'' ( ; sa, महाभारतम्, ', ) is one of the two major Sanskrit epics of ancient India in Hinduism, the other being the ''Rāmāyaṇa''. It narrates the struggle between two groups of cousins in the Kuruk ...
, the king
Dhritarashtra
Dhritarashtra ( sa, धृतराष्ट्र, ISO-15919: Dhr̥tarāṣṭra) was a Kuru king, and the father of the Kauravas in the Hindu epic ''Mahabharata''. He was the King of the Kuru Kingdom, with its capital at Hastinapura. He was ...
had 100 sons known as the
Kauravas
''Kaurava'' is a Sanskrit term which refers to descendants of Kuru, a legendary king of India who is the ancestor of many of the characters of the epic ''Mahabharata''. Usually, the term is used for the 100 sons of King Dhritarashtra and his wi ...
.
In politics
* The
Hundred (county division)
A hundred is an administrative division that is geographically part of a larger region. It was formerly used in England, Wales, some parts of the United States, Denmark, Southern Schleswig, Sweden, Finland, Norway, the Bishopric of Ösel–Wiek, C ...
is a largely historical division of a county or similar larger administrative unit.
* The
United States Senate
The United States Senate is the upper chamber of the United States Congress, with the House of Representatives being the lower chamber. Together they compose the national bicameral legislature of the United States.
The composition and pow ...
has 100
Senators.
In money
![Hundred rupee note India](https://upload.wikimedia.org/wikipedia/commons/3/34/Hundred_rupee_note_India.jpg)
Most of the world's
currencies
A currency, "in circulation", from la, currens, -entis, literally meaning "running" or "traversing" is a standardization of money in any form, in use or circulation as a medium of exchange, for example banknotes and coins.
A more general def ...
are divided into 100 subunits; for example, one
euro
The euro ( symbol: €; code: EUR) is the official currency of 19 out of the member states of the European Union (EU). This group of states is known as the eurozone or, officially, the euro area, and includes about 340 million citizens . ...
is one hundred cents and one
pound sterling
Sterling (abbreviation: stg; Other spelling styles, such as STG and Stg, are also seen. ISO code: GBP) is the currency of the United Kingdom and nine of its associated territories. The pound ( sign: £) is the main unit of sterling, and t ...
is one hundred pence.
By specification,
100 euro note
The one hundred euro note (€100) is one of the higher value euro banknotes and has been used since the introduction of the euro (in its cash form) in 2002. The note is used daily by some 343 million Europeans and in the 25 countries which ...
s feature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse.
![New100front](https://upload.wikimedia.org/wikipedia/commons/7/7b/Obverse_of_the_series_2009_%24100_Federal_Reserve_Note.jpg)
The
U.S. hundred-dollar bill has
Benjamin Franklin
Benjamin Franklin ( April 17, 1790) was an American polymath who was active as a writer, scientist, inventor, statesman, diplomat, printer, publisher, and political philosopher. Encyclopædia Britannica, Wood, 2021 Among the leading inte ...
's portrait; the "Benjamin" is the largest U.S. bill in print. American savings bonds of $100 have
Thomas Jefferson
Thomas Jefferson (April 13, 1743 – July 4, 1826) was an American statesman, diplomat, lawyer, architect, philosopher, and Founding Fathers of the United States, Founding Father who served as the third president of the United States from 18 ...
's portrait, while American $100 treasury bonds have
Andrew Jackson
Andrew Jackson (March 15, 1767 – June 8, 1845) was an American lawyer, planter, general, and statesman who served as the seventh president of the United States from 1829 to 1837. Before being elected to the presidency, he gained fame as ...
's portrait.
In other fields
One hundred is also:
* The number of years in a
century
A century is a period of 100 years. Centuries are numbered ordinally in English and many other languages. The word ''century'' comes from the Latin ''centum'', meaning ''one hundred''. ''Century'' is sometimes abbreviated as c.
A centennial or ...
.
* The number of
centimeters
330px, Different lengths as in respect to the Electromagnetic spectrum, measured by the Metre and its deriveds scales. The Microwave are in-between 1 meter to 1 millimeter.
A centimetre (international spelling) or centimeter (American spellin ...
in a
meter
The metre (British spelling) or meter (American spelling; see spelling differences) (from the French unit , from the Greek noun , "measure"), symbol m, is the primary unit of length in the International System of Units (SI), though its prefi ...
.
* The number of pounds in an American short
hundredweight
The hundredweight (abbreviation: cwt), formerly also known as the centum weight or quintal, is a British imperial and US customary unit of weight or mass. Its value differs between the US and British imperial systems. The two values are distingu ...
.
* In
Greece
Greece,, or , romanized: ', officially the Hellenic Republic, is a country in Southeast Europe. It is situated on the southern tip of the Balkans, and is located at the crossroads of Europe, Asia, and Africa. Greece shares land borders with ...
,
India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...
,
Israel
Israel (; he, יִשְׂרָאֵל, ; ar, إِسْرَائِيل, ), officially the State of Israel ( he, מְדִינַת יִשְׂרָאֵל, label=none, translit=Medīnat Yīsrāʾēl; ), is a country in Western Asia. It is situated ...
and
Nepal
Nepal (; ne, नेपाल ), formerly the Federal Democratic Republic of Nepal ( ne,
सङ्घीय लोकतान्त्रिक गणतन्त्र नेपाल ), is a landlocked country in South Asia. It is mai ...
, 100 is the police telephone number.
* In
Belgium
Belgium, ; french: Belgique ; german: Belgien officially the Kingdom of Belgium, is a country in Northwestern Europe. The country is bordered by the Netherlands to the north, Germany to the east, Luxembourg to the southeast, France to th ...
, 100 is the ambulance and firefighter telephone number.
* In
United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the continental mainland. It comprises England, Scotland, Wales and North ...
, 100 is the
operator telephone number.
* The
HTTP status code
This is a list of Hypertext Transfer Protocol (HTTP) response status codes. Status codes are issued by a server in response to a client's request made to the server. It includes codes from IETF Request for Comments (RFCs), other specifications, ...
indicating that the client should continue with its request.
* The age at which a person becomes a
centenarian
A centenarian is a person who has reached the age of 100 years. Because life expectancies worldwide are below 100 years, the term is invariably associated with longevity. In 2012, the United Nations estimated that there were 316,600 living cente ...
.
In sports
* The number of yards in an
American football field
The rectangular field of play used for American football games measures long between the goal lines, and (53.3 yards) wide. The field may be made of grass or artificial turf. In addition, there are end zones extending another past the goal li ...
(not including the end zones).
* The number of points required for a
snooker
Snooker (pronounced , ) is a cue sports, cue sport played on a Billiard table#Snooker and English billiards tables, rectangular table covered with a green cloth called baize, with six Billiard table#Pockets 2, pockets, one at each corner and o ...
player to score a
century break
In snooker, a century break (also century, sometimes called a ton) is a of 100 points or more, compiled in one to the table. A century break requires potting at least 25 consecutive balls, and the ability to score centuries is regarded as a m ...
, a significant milestone.
* The record number of points scored in one
NBA
The National Basketball Association (NBA) is a professional basketball league in North America. The league is composed of 30 teams (29 in the United States and 1 in Canada) and is one of the major professional sports leagues in the United St ...
game
A game is a structured form of play (activity), play, usually undertaken for enjoyment, entertainment or fun, and sometimes used as an educational tool. Many games are also considered to be work (such as professional players of spectator s ...
by a single player, set by
Wilt Chamberlain
Wilton Norman Chamberlain (; August 21, 1936 – October 12, 1999) was an American professional basketball player who played as a Center (basketball), center. Standing at tall, he played in the National Basketball Association (NBA) for 14 yea ...
of the
Philadelphia Warriors
The history of the Golden State Warriors began in Philadelphia in 1946. In 1962, the franchise was relocated to San Francisco, California and became known as the San Francisco Warriors until 1971, when its name was changed to the current Golden St ...
on March 2, 1962.
* The
100-yard dash
1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1 ...
and the
100-metre dash are sprint track events.
* The
100-kilometre walk is a racewalking event.
*
The Hundred (cricket)
The Hundred is a professional franchise 100-ball cricket tournament involving eight men's and eight women's teams located in major cities across England and Wales. The tournament is run by the England and Wales Cricket Board (ECB) and took pla ...
, a 100-ball cricket competition.
See also
* ''
1 vs. 100
1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1 ...
''
*
AFI's 100 Years...
*
Hundred (division)
A hundred is an administrative division that is geographically part of a larger region. It was formerly used in England, Wales, some parts of the United States, Denmark, Southern Schleswig, Sweden, Finland, Norway, the Bishopric of Ösel–Wiek, C ...
*
Hundred (word)
The long hundred, also known as the great hundred or twelfty, is the number 120 (in base-10 Arabic numerals) that was referred to as "hundred" in Germanic languages prior to the 15th century, and is now known as one hundred twenty, or six score. ...
*
Hundred Days
The Hundred Days (french: les Cent-Jours ), also known as the War of the Seventh Coalition, marked the period between Napoleon's return from eleven months of exile on the island of Elba to Paris on20 March 1815 and the second restoration ...
*
Hundred Years' War
The Hundred Years' War (; 1337–1453) was a series of armed conflicts between the kingdoms of Kingdom of England, England and Kingdom of France, France during the Late Middle Ages. It originated from disputed claims to the French Crown, ...
*
List of highways numbered 100
*
Top 100
*
Greatest 100
References
* Wells, D. ''
The Penguin Dictionary of Curious and Interesting Numbers
''The Penguin Dictionary of Curious and Interesting Numbers'' is a reference book for recreational mathematics and elementary number theory written by David Wells. The first edition was published in paperback by Penguin Books in 1986 in the UK, ...
'' London: Penguin Group. (1987): 133
External links
*
*
{{DEFAULTSORT:100 (Number)
Integers