100556157 has 24 divisors (see below), whose sum is σ = 149251872. Its totient is φ = 59862240.

The previous prime is 100556153. The next prime is 100556191. The reversal of 100556157 is 751655001.

It is not a de Polignac number, because 100556157 - 2² = 100556153 is a prime.

It is a super-3 number, since 3×100556157³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100556153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36138 + ... + 38820.

It is an arithmetic number, because the mean of its divisors is an integer number (6218828).

Almost surely, 2^100556157 is an apocalyptic number.

It is an amenable number.

100556157 is a deficient number, since it is larger than the sum of its proper divisors (48695715).

100556157 is a wasteful number, since it uses less digits than its factorization.

100556157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 100556157 is about 10027.7692933174. The cubic root of 100556157 is about 465.0177770981.

The spelling of 100556157 in words is "one hundred million, five hundred fifty-six thousand, one hundred fifty-seven".