104580 has 72 divisors (see below), whose sum is σ = 366912. Its totient is φ = 23616.

The previous prime is 104579. The next prime is 104593. The reversal of 104580 is 85401.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1219 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2¹⁰⁴⁵⁸⁰ is an apocalyptic number.

104580 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 104580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

104580 is an abundant number, since it is smaller than the sum of its proper divisors (262332).

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

104580 is a wasteful number, since it uses less digits than its factorization.

104580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 104580 is about 323.3883114771. The cubic root of 104580 is about 47.1139531598.

Adding to 104580 its reverse (85401), we get a palindrome (189981).

The spelling of 104580 in words is "one hundred four thousand, five hundred eighty".