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100097900 = 22527151947
BaseRepresentation
bin1011111011101…
…01111101101100
320222100111111122
411331311331230
5201111113100
613533240112
72323550420
oct575657554
9228314448
10100097900
1151559041
1229633038
1317979236
14d418b80
158bc3985
hex5f75f6c

100097900 has 72 divisors (see below), whose sum is σ = 250150656. Its totient is φ = 34056000.

The previous prime is 100097897. The next prime is 100097927. The reversal of 100097900 is 9790001.

It is a self number, because there is not a number n which added to its sum of digits gives 100097900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105227 + ... + 106173.

Almost surely, 2100097900 is an apocalyptic number.

100097900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100097900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125075328).

100097900 is an abundant number, since it is smaller than the sum of its proper divisors (150052756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100097900 is a wasteful number, since it uses less digits than its factorization.

100097900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 100097900 is about 10004.8938025348. The cubic root of 100097900 is about 464.3103044739.

The spelling of 100097900 in words is "one hundred million, ninety-seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 604 700 755 947 1057 1510 1894 2114 3020 3775 3788 4228 4735 5285 6629 7550 9470 10570 13258 15100 18940 21140 23675 26425 26516 33145 47350 52850 66290 94700 105700 132580 142997 165725 285994 331450 571988 662900 714985 1000979 1429970 2001958 2859940 3574925 4003916 5004895 7149850 10009790 14299700 20019580 25024475 50048950 100097900