100957172958 has 16 divisors (see below), whose sum is σ = 224349273360. Its totient is φ = 33652390968.

The previous prime is 100957172903. The next prime is 100957172963. The reversal of 100957172958 is 859271759001.

100957172958 is a `hidden beast` number, since 10 + 0 + 9 + 571 + 7 + 2 + 9 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1869577277 = 100957172958 / (1 + 0 + 0 + 9 + 5 + 7 + 1 + 7 + 2 + 9 + 5 + 8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 934788585 + ... + 934788692.

It is an arithmetic number, because the mean of its divisors is an integer number (14021829585).

Almost surely, 2^100957172958 is an apocalyptic number.

100957172958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100957172958 is an abundant number, since it is smaller than the sum of its proper divisors (123392100402).

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

100957172958 is a wasteful number, since it uses less digits than its factorization.

100957172958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869577288 (or 1869577282 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 100957172958 in words is "one hundred billion, nine hundred fifty-seven million, one hundred seventy-two thousand, nine hundred fifty-eight".