100856164 has 12 divisors (see below), whose sum is σ = 176664124. Its totient is φ = 50380704.

The previous prime is 100856159. The next prime is 100856177. The reversal of 100856164 is 461658001.

It can be written as a sum of positive squares in 2 ways, for example, as 4972900 + 95883264 = 2230^2 + 9792^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6819 + ... + 15754.

Almost surely, 2^100856164 is an apocalyptic number.

It is an amenable number.

100856164 is a deficient number, since it is larger than the sum of its proper divisors (75807960).

100856164 is a wasteful number, since it uses less digits than its factorization.

100856164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23694 (or 23692 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 100856164 is about 10042.7169630534. The cubic root of 100856164 is about 465.4797745918.

The spelling of 100856164 in words is "one hundred million, eight hundred fifty-six thousand, one hundred sixty-four".