104932080 has 120 divisors (see below), whose sum is σ = 384462000. Its totient is φ = 25436160.

The previous prime is 104932067. The next prime is 104932129. The reversal of 104932080 is 80239401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×104932080² = 22021482826252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (3203850).

Almost surely, 2^104932080 is an apocalyptic number.

104932080 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 104932080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192231000).

104932080 is an abundant number, since it is smaller than the sum of its proper divisors (279529920).

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

104932080 is a wasteful number, since it uses less digits than its factorization.

104932080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 104932080 is about 10243.6360731920. The cubic root of 104932080 is about 471.6676536222.

The spelling of 104932080 in words is "one hundred four million, nine hundred thirty-two thousand, eighty".