100764400 has 60 divisors (see below), whose sum is σ = 264105864. Its totient is φ = 36640000.

The previous prime is 100764397. The next prime is 100764401. The reversal of 100764400 is 4467001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100764401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 15850.

Almost surely, 2^100764400 is an apocalyptic number.

100764400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100764400 is an abundant number, since it is smaller than the sum of its proper divisors (163341464).

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

100764400 is a wasteful number, since it uses less digits than its factorization.

100764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22930 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 100764400 is about 10038.1472394063. The cubic root of 100764400 is about 465.3385594678.

The spelling of 100764400 in words is "one hundred million, seven hundred sixty-four thousand, four hundred".