100939824 has 80 divisors (see below), whose sum is σ = 302361600. Its totient is φ = 32180544.

The previous prime is 100939763. The next prime is 100939831. The reversal of 100939824 is 428939001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 15015.

It is an arithmetic number, because the mean of its divisors is an integer number (3779520).

Almost surely, 2^100939824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100939824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151180800).

100939824 is an abundant number, since it is smaller than the sum of its proper divisors (201421776).

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

100939824 is a wasteful number, since it uses less digits than its factorization.

100939824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 100939824 is about 10046.8813071520. The cubic root of 100939824 is about 465.6084438898.

The spelling of 100939824 in words is "one hundred million, nine hundred thirty-nine thousand, eight hundred twenty-four".