104979672 has 64 divisors (see below), whose sum is σ = 333273600. Its totient is φ = 29993760.

The previous prime is 104979649. The next prime is 104979673. The reversal of 104979672 is 276979401.

104979672 is a `hidden beast` number, since 1 + 0 + 497 + 96 + 72 = 666.

It is a super-2 number, since 2×104979672² = 22041463066455168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104979673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33204 + ... + 36227.

It is an arithmetic number, because the mean of its divisors is an integer number (5207400).

Almost surely, 2^104979672 is an apocalyptic number.

104979672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104979672 is an abundant number, since it is smaller than the sum of its proper divisors (228293928).

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

104979672 is a wasteful number, since it uses less digits than its factorization.

104979672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69453 (or 69443 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 104979672 is about 10245.9588131126. The cubic root of 104979672 is about 471.7389512149.

The spelling of 104979672 in words is "one hundred four million, nine hundred seventy-nine thousand, six hundred seventy-two".