104579920 has 80 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 39004160.

The previous prime is 104579879. The next prime is 104579929. The reversal of 104579920 is 29975401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 104579920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104579929) 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, 177867 + ... + 178453.

Almost surely, 2^104579920 is an apocalyptic number.

104579920 is a gapful number since it is divisible by the number (10) 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 104579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

104579920 is an abundant number, since it is smaller than the sum of its proper divisors (155278448).

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

104579920 is a wasteful number, since it uses less digits than its factorization.

104579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 104579920 is about 10226.4324180038. The cubic root of 104579920 is about 471.1394114626.

The spelling of 104579920 in words is "one hundred four million, five hundred seventy-nine thousand, nine hundred twenty".