100566172 has 12 divisors (see below), whose sum is σ = 201132400. Its totient is φ = 43099776.

The previous prime is 100566163. The next prime is 100566199. The reversal of 100566172 is 271665001.

100566172 is an admirable number.

It is a super-2 number, since 2×100566172² = 20227109901467168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3591649 = 100566172 / (1 + 0 + 0 + 5 + 6 + 6 + 1 + 7 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 100566172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1795797 + ... + 1795852.

Almost surely, 2^100566172 is an apocalyptic number.

It is an amenable number.

100566172 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

100566172 is a wasteful number, since it uses less digits than its factorization.

100566172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591660 (or 3591658 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 100566172 is about 10028.2686441878. The cubic root of 100566172 is about 465.0332145697.

The spelling of 100566172 in words is "one hundred million, five hundred sixty-six thousand, one hundred seventy-two".