100,000,000 (one hundred million) 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 99,999,999 and preceding 100,000,001. 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 10⁸. East Asian languages treat 100,000,000 as a counting unit, significant as the square of a myriad, also a counting unit. In Chinese, Korean, and Japanese respectively it is ''yi'' () (or in ancient texts), ''eok'' () and ''oku'' (). These languages do not have single words for a thousand to the second, third, fifth powers, etc. 100,000,000 is also the

fourth power In arithmetic and algebra, the fourth power of a number ''n'' is the result of multiplying four instances of ''n'' together. So: :''n''4 = ''n'' × ''n'' × ''n'' × ''n'' Fourth powers are also formed by multiplying a number by its cube. Further ...

of 100 and also the

square In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90- degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length a ...

of 10000.

Selected 9-digit numbers (100,000,001–999,999,999)

100,000,001 to 199,999,999

* 100,000,007 = smallest nine digit prime * 100,005,153 = smallest

triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...

with 9 digits and the 14,142nd triangular number * 100,020,001 = 10001², palindromic square * 100,544,625 = 465³, the smallest 9-digit cube * 102,030,201 = 10101², palindromic square * 102,334,155 =

Fibonacci number In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...

* 102,400,000 = 40⁵ * 104,060,401 = 10201² = 101⁴, palindromic square * 105,413,504 = 14⁷ * 107,890,609 = Wedderburn-Etherington number * 111,111,111 =

repunit In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recreat ...

, square root of 12345678987654321 * 111,111,113 =

Chen prime A prime number ''p'' is called a Chen prime if ''p'' + 2 is either a prime or a product of two primes (also called a semiprime). The even number 2''p'' + 2 therefore satisfies Chen's theorem. The Chen primes are named after Chen Jingru ...

Sophie Germain prime In number theory, a prime number ''p'' is a if 2''p'' + 1 is also prime. The number 2''p'' + 1 associated with a Sophie Germain prime is called a . For example, 11 is a Sophie Germain prime and 2 × 11 + ...

cousin prime In number theory, cousin primes are prime numbers that differ by four. Compare this with twin primes, pairs of prime numbers that differ by two, and sexy primes, pairs of prime numbers that differ by six. The cousin primes (sequences and in O ...

. * 113,379,904 = 10648² = 484³ = 22⁶ * 115,856,201 = 41⁵ * 119,481,296 = logarithmic number * 121,242,121 = 11011², palindromic square * 123,454,321 = 11111², palindromic square * 123,456,789 = smallest zeroless base 10

pandigital number In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For example, 1234567890 (one billion two hundred thirty four million five hundred sixty seven tho ...

* 125,686,521 = 11211², palindromic square * 126,491,971 = Leonardo prime * 129,140,163 = 3¹⁷ * 129,145,076 = Leyland number * 129,644,790 =

Catalan number In combinatorial mathematics, the Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Ca ...

* 130,691,232 = 42⁵ * 134,217,728 = 512³ = 8⁹ = 2²⁷ * 134,218,457 = Leyland number * 136,048,896 = 11664² = 108⁴ * 139,854,276 = 11826², the smallest zeroless base 10 pandigital square * 142,547,559 =

Motzkin number In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have d ...

* 147,008,443 = 43⁵ * 148,035,889 = 12167² = 529³ = 23⁶ * 157,115,917 – number of parallelogram polyominoes with 24 cells. * 157,351,936 = 12544² = 112⁴ * 164,916,224 = 44⁵ * 165,580,141 =

* 167,444,795 =

cyclic number A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the six-digit number 142857, whose first six integer multiples are :142857 × 1 = 142857 :14 ...

base 6 A senary () numeral system (also known as base-6, heximal, or seximal) has six as its base. It has been adopted independently by a small number of cultures. Like decimal, it is a semiprime, though it is unique as the product of the only two con ...

* 170,859,375 = 15⁷ * 177,264,449 = Leyland number * 179,424,673 = 10,000,000th

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 ...

* 184,528,125 = 45⁵ * 188,378,402 = number of ways to partition and then partition each cell (block) into subcells. * 190,899,322 =

Bell number In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan. In an example of Stigler's law of eponymy ...

* 191,102,976 = 13824² = 576³ = 24⁶ * 192,622,052 = number of free 18-ominoes * 199,960,004 = number of surface-points of a tetrahedron with edge-length 9999

200,000,000 to 299,999,999

* 200,000,002 = number of surface-points of a tetrahedron with edge-length 10000 * 205,962,976 = 46⁵ * 210,295,326 = Fine number * 212,890,625 = 1-

automorphic number In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself. Definition and properties Given a number base b, a natura ...

* 214,358,881 = 14641² = 121⁴ = 11⁸ * 222,222,222 =

repdigit In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit. Example ...

* 222,222,227 =

safe prime In number theory, a prime number ''p'' is a if 2''p'' + 1 is also prime. The number 2''p'' + 1 associated with a Sophie Germain prime is called a . For example, 11 is a Sophie Germain prime and 2 × 11 + ...

* 223,092,870 = the product of the first nine

prime numbers 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 ...

, thus the ninth

primorial In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function ...

* 225,058,681 =

Pell number In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins , , , , an ...

* 225,331,713 =

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 ...

in base 9 * 229,345,007 = 47⁵ * 232,792,560 = superior highly composite number;

colossally abundant number In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Formally, a number ''n'' is said to be colossally abundant if there is an ε > 0 su ...

; the smallest number divisible by all the numbers 1 through 22 * 244,140,625 = 15625² = 125³ = 25⁶ = 5¹² * 244,389,457 = Leyland number * 244,330,711 = n such that n , (3ⁿ + 5) * 253,450,711 = Wedderburn-Etherington prime * 254,803,968 = 48⁵ * 267,914,296 =

* 268,435,456 = 16384² = 128⁴ = 16⁷ = 4¹⁴ = 2²⁸ * 268,436,240 = Leyland number * 268,473,872 = Leyland number * 272,400,600 = the number of terms of the harmonic series required to pass 20 * 275,305,224 = the number of

magic square In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The 'order' of the magic square is the number ...

s of order 5, excluding rotations and reflections * 282,475,249 = 16807² = 49⁵ = 7¹⁰ * 292,475,249 = Leyland number

300,000,000 to 399,999,999

* 308,915,776 = 17576² = 676³ = 26⁶ * 312,500,000 = 50⁵ * 321,534,781 = Markov prime * 331,160,281 = Leonardo prime * 333,333,333 =

* 345,025,251 = 51⁵ * 362,802,072 – number of parallelogram polyominoes with 25 cells. * 364,568,617 = Leyland number * 365,496,202 = n such that n , (3ⁿ + 5) * 367,567,200 =

, superior highly composite number * 380,204,032 = 52⁵ * 381,654,729 = the only

polydivisible number In mathematics a polydivisible number (or magic number) is a number in a given number base with digits ''abcde...'' that has the following properties: # Its first digit ''a'' is not 0. # The number formed by its first two digits ''ab'' is a mul ...

that is also a zeroless

* 387,420,489 = 19683² = 729³ = 27⁶ = 9⁹ = 3¹⁸ and in

tetration In mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though \uparrow \uparrow and the left-exponent ''xb'' are common. Under the definition as rep ...

notation ²9 * 387,426,321 = Leyland number

400,000,000 to 499,999,999

* 400,080,004 = 20002², palindromic square * 400,763,223 = Motzkin number * 404,090,404 = 20102², palindromic square * 405,071,317 = 1¹ + 2² + 3³ + 4⁴ + 5⁵ + 6⁶ + 7⁷ + 8⁸ + 9⁹ * 410,338,673 = 17⁷ * 418,195,493 = 53⁵ * 429,981,696 = 20736² = 144⁴ = 12⁸ = 100,000,000₁₂ AKA a gross-great-great-gross (100₁₂ great-great-grosses) * 433,494,437 =

Fibonacci prime A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime. The first Fibonacci primes are : : 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, .... Known Fibonacci primes It is not known whet ...

, Markov prime * 442,386,619 = alternating factorial * 444,101,658 = number of (unordered, unlabeled) rooted trimmed trees with 27 nodes * 444,444,444 =

* 455,052,511 = number of primes under 10¹⁰ * 459,165,024 = 54⁵ * 467,871,369 = number of triangle-free graphs on 14 vertices * 477,638,700 = Catalan number * 479,001,599 =

factorial prime A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). The first 10 factorial primes (for ''n'' = 1, 2, 3, 4, 6, 7, 11, 12, 14) are : : 2 (0! +&n ...

* 479,001,600 = 12! * 481,890,304 = 21952² = 784³ = 28⁶ * 499,999,751 =

500,000,000 to 599,999,999

* 503,284,375 = 55⁵ * 522,808,225 = 22865², palindromic square * 535,828,591 = Leonardo prime * 536,870,911 = third composite

Mersenne number In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th ...

with a prime exponent * 536,870,912 = 2²⁹ * 536,871,753 = Leyland number * 542,474,231 = k such that the sum of the squares of the first k primes is divisible by k. * 543,339,720 = Pell number * 550,731,776 = 56⁵ * 554,999,445 = a Kaprekar constant for digit length 9 in base 10 * 555,555,555 =

* 574,304,985 = 1⁹ + 2⁹ + 3⁹ + 4⁹ + 5⁹ + 6⁹ + 7⁹ + 8⁹ + 9⁹ * 575,023,344 = 14-th derivative of x^x at x=1 * 594,823,321 = 24389² = 841³ = 29⁶ * 596,572,387 = Wedderburn-Etherington prime

600,000,000 to 699,999,999

* 601,692,057 = 57⁵ * 612,220,032 = 18⁷ * 617,323,716 = 24846², palindromic square * 644,972,544 = 864³, 3-

smooth number In number theory, an ''n''-smooth (or ''n''-friable) number is an integer whose prime factors are all less than or equal to ''n''. For example, a 7-smooth number is a number whose every prime factor is at most 7, so 49 = 72 and 15750 = 2 × 32 � ...

* 656,356,768 = 58⁵ * 666,666,666 =

* 670,617,279 = highest stopping time

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 ...

under 10⁹ for the

Collatz conjecture The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1. It concerns sequences of integ ...

700,000,000 to 799,999,999

* 701,408,733 =

* 714,924,299 = 59⁵ * 715,827,883 =

Wagstaff prime In number theory, a Wagstaff prime is a prime number of the form : where ''p'' is an odd prime. Wagstaff primes are named after the mathematician Samuel S. Wagstaff Jr.; the prime pages credit François Morain for naming them in a lecture at the ...

, Jacobsthal prime * 729,000,000 = 27000² = 900³ = 30⁶ * 742,624,232 = number of free 19-ominoes * 774,840,978 = Leyland number * 777,600,000 = 60⁵ * 777,777,777 =

* 778,483,932 = Fine number * 780,291,637 = Markov prime * 787,109,376 = 1-

800,000,000 to 899,999,999

* 801,765,089 = 929³ * 804,357,000 = 930³ * 806,954,491 = 931³ * 809,557,568 = 932³ * 812,166,237 = 933³ * 814,780,504 = 934³ * 815,730,721 = 13⁸ * 815,730,721 = 169⁴ * 817,400,375 = 935³ * 820,025,856 = 936³ * 822,656,953 = 937³ * 825,293,672 = 938³ * 827,936,019 = 939³ * 830,584,000 = 940³ * 833,237,621 = 941³ * 835,210,000 = 170⁴ * 835,896,888 = 942³ * 837,759,792 – number of parallelogram polyominoes with 26 cells. * 838,561,807 = 943³ * 841,232,384 = 944³ * 843,908,625 = 945³ * 844,596,301 = 61⁵ * 846,590,536 = 946³ * 849,278,123 = 947³ * 851,971,392 = 948³ * 854,670,349 = 949³ * 855,036,081 = 171⁴ * 857,375,000 = 950³ * 860,085,351 = 951³ * 862,801,408 = 952³ * 865,523,177 = 953³ * 868,250,664 = 954³ * 870,983,875 = 955³ * 873,722,816 = 956³ * 875,213,056 = 172⁴ * 876,467,493 = 957³ * 879,217,912 = 958³ * 881,974,079 = 959³ * 884,736,000 = 960³ * 887,503,681 = 31⁶ * 887,503,681 = 961³ * 888,888,888 –

* 890,277,128 = 962³ * 893,056,347 = 963³ * 893,554,688 = 2-

* 893,871,739 = 19⁷ * 895,745,041 = 173⁴

900,000,000 to 999,999,999

* 906,150,257 = smallest counterexample to the Polya conjecture * 916,132,832 = 62⁵ * 923,187,456 = 30384², the largest zeroless pandigital square * 942,060,249 = 30693², palindromic square * 987,654,321 = largest zeroless pandigital number * 992,436,543 = 63⁵ * 997,002,999 = 999³, the largest 9-digit cube * 999,950,884 = 31622², the largest 9-digit square * 999,961,560 = highest

with 9 digits and the 44,720th triangular number * 999,999,937 = largest 9-digit prime number * 999,999,999 =

References

{{DEFAULTSORT:100000000 Integers