100166100 has 72 divisors (see below), whose sum is σ = 305084640. Its totient is φ = 25303680.

The previous prime is 100166083. The next prime is 100166111. The reversal of 100166100 is 1661001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100166100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3087 + ... + 14486.

Almost surely, 2^100166100 is an apocalyptic number.

100166100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100166100 is an abundant number, since it is smaller than the sum of its proper divisors (204918540).

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

100166100 is a wasteful number, since it uses less digits than its factorization.

100166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609 (or 17602 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100166100 is about 10008.3015542099. The cubic root of 100166100 is about 464.4157305078.

The spelling of 100166100 in words is "one hundred million, one hundred sixty-six thousand, one hundred".