108504 has 48 divisors (see below), whose sum is σ = 322920. Its totient is φ = 32640.

The previous prime is 108503. The next prime is 108517. The reversal of 108504 is 405801.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108504.

It is not an unprimeable number, because it can be changed into a prime (108503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724 + ... + 860.

2¹⁰⁸⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161460).

108504 is an abundant number, since it is smaller than the sum of its proper divisors (214416).

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

108504 is a wasteful number, since it uses less digits than its factorization.

108504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

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

The square root of 108504 is about 329.3994535515. The cubic root of 108504 is about 47.6959953391.

The spelling of 108504 in words is "one hundred eight thousand, five hundred four".