100338400 has 36 divisors (see below), whose sum is σ = 244953072. Its totient is φ = 40135040.

The previous prime is 100338383. The next prime is 100338419. The reversal of 100338400 is 4833001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61912 + ... + 63511.

It is an arithmetic number, because the mean of its divisors is an integer number (6804252).

Almost surely, 2^100338400 is an apocalyptic number.

100338400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100338400 is an abundant number, since it is smaller than the sum of its proper divisors (144614672).

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

100338400 is a wasteful number, since it uses less digits than its factorization.

100338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125443 (or 125430 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 100338400 is about 10016.9057098487. The cubic root of 100338400 is about 464.6818651012.

The spelling of 100338400 in words is "one hundred million, three hundred thirty-eight thousand, four hundred".