100556164 has 24 divisors (see below), whose sum is σ = 179057088. Its totient is φ = 49402080.

The previous prime is 100556153. The next prime is 100556191. The reversal of 100556164 is 461655001.

It is a super-3 number, since 3×100556164³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148194 + ... + 148870.

It is an arithmetic number, because the mean of its divisors is an integer number (7460712).

Almost surely, 2^100556164 is an apocalyptic number.

It is an amenable number.

100556164 is a deficient number, since it is larger than the sum of its proper divisors (78500924).

100556164 is a wasteful number, since it uses less digits than its factorization.

100556164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 100556164 is about 10027.7696423482. The cubic root of 100556164 is about 465.0177878885.

The spelling of 100556164 in words is "one hundred million, five hundred fifty-six thousand, one hundred sixty-four".