104880 has 80 divisors (see below), whose sum is σ = 357120. Its totient is φ = 25344.

The previous prime is 104879. The next prime is 104891. The reversal of 104880 is 88401.

104880 = 41² + 42² + ... + 72².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4549 + ... + 4571.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2¹⁰⁴⁸⁸⁰ is an apocalyptic number.

104880 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 104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

104880 is an abundant number, since it is smaller than the sum of its proper divisors (252240).

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

104880 is a wasteful number, since it uses less digits than its factorization.

104880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 104880 is about 323.8518179662. The cubic root of 104880 is about 47.1589607847.

It can be divided in two parts, 1048 and 80, that added together give a triangular number (1128 = T₄₇).

The spelling of 104880 in words is "one hundred four thousand, eight hundred eighty".