100955456900 has 36 divisors (see below), whose sum is σ = 230603521680. Its totient is φ = 38256804000.

The previous prime is 100955456869. The next prime is 100955456989. The reversal of 100955456900 is 9654559001.

It is a super-2 number, since 2×100955456900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26565326 + ... + 26569125.

It is an arithmetic number, because the mean of its divisors is an integer number (6405653380).

Almost surely, 2^100955456900 is an apocalyptic number.

100955456900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100955456900 is an abundant number, since it is smaller than the sum of its proper divisors (129648064780).

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

100955456900 is a wasteful number, since it uses less digits than its factorization.

100955456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53134484 (or 53134477 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 44.

The spelling of 100955456900 in words is "one hundred billion, nine hundred fifty-five million, four hundred fifty-six thousand, nine hundred".