104072880 has 160 divisors (see below), whose sum is σ = 351763200. Its totient is φ = 25353216.

The previous prime is 104072869. The next prime is 104072911. The reversal of 104072880 is 88270401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131847 + ... + 132633.

It is an arithmetic number, because the mean of its divisors is an integer number (2198520).

Almost surely, 2^104072880 is an apocalyptic number.

104072880 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 104072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175881600).

104072880 is an abundant number, since it is smaller than the sum of its proper divisors (247690320).

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

104072880 is a wasteful number, since it uses less digits than its factorization.

104072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 104072880 is about 10201.6116373836. The cubic root of 104072880 is about 470.3767614278.

It can be divided in two parts, 1040 and 72880, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 104072880 in words is "one hundred four million, seventy-two thousand, eight hundred eighty".