100479372 has 96 divisors (see below), whose sum is σ = 284551680. Its totient is φ = 26956800.

The previous prime is 100479371. The next prime is 100479377. The reversal of 100479372 is 273974001.

It is a super-2 number, since 2×100479372² = 20192208395028768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100479371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250372 + ... + 250772.

It is an arithmetic number, because the mean of its divisors is an integer number (2964080).

Almost surely, 2^100479372 is an apocalyptic number.

100479372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100479372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142275840).

100479372 is an abundant number, since it is smaller than the sum of its proper divisors (184072308).

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

100479372 is a wasteful number, since it uses less digits than its factorization.

100479372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 100479372 is about 10023.9399439542. The cubic root of 100479372 is about 464.8993839420.

The spelling of 100479372 in words is "one hundred million, four hundred seventy-nine thousand, three hundred seventy-two".