100812957 has 32 divisors (see below), whose sum is σ = 157350912. Its totient is φ = 56225664.

The previous prime is 100812949. The next prime is 100812991. The reversal of 100812957 is 759218001.

It is not a de Polignac number, because 100812957 - 2³ = 100812949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100812557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192498 + ... + 193020.

It is an arithmetic number, because the mean of its divisors is an integer number (4917216).

Almost surely, 2^100812957 is an apocalyptic number.

It is an amenable number.

100812957 is a deficient number, since it is larger than the sum of its proper divisors (56537955).

100812957 is a wasteful number, since it uses less digits than its factorization.

100812957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737.

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 100812957 is about 10040.5655717196. The cubic root of 100812957 is about 465.4132942482.

The spelling of 100812957 in words is "one hundred million, eight hundred twelve thousand, nine hundred fifty-seven".