108684 has 18 divisors (see below), whose sum is σ = 274820. Its totient is φ = 36216.

The previous prime is 108677. The next prime is 108707. The reversal of 108684 is 486801.

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1474 + ... + 1545.

2¹⁰⁸⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

108684 is an abundant number, since it is smaller than the sum of its proper divisors (166136).

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

108684 is a wasteful number, since it uses less digits than its factorization.

108684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108684 is about 329.6725648276. The cubic root of 108684 is about 47.7223554612.

The spelling of 108684 in words is "one hundred eight thousand, six hundred eighty-four".