100397664 has 48 divisors (see below), whose sum is σ = 292829040. Its totient is φ = 33465600.

The previous prime is 100397659. The next prime is 100397711. The reversal of 100397664 is 466793001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 57237 + ... + 58964.

It is an arithmetic number, because the mean of its divisors is an integer number (6100605).

Almost surely, 2^100397664 is an apocalyptic number.

It is an amenable number.

100397664 is an abundant number, since it is smaller than the sum of its proper divisors (192431376).

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

100397664 is a wasteful number, since it uses less digits than its factorization.

100397664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116220 (or 116206 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 100397664 is about 10019.8634721238. The cubic root of 100397664 is about 464.7733338574.

The spelling of 100397664 in words is "one hundred million, three hundred ninety-seven thousand, six hundred sixty-four".