108680 has 64 divisors (see below), whose sum is σ = 302400. Its totient is φ = 34560.

The previous prime is 108677. The next prime is 108707. The reversal of 108680 is 86801.

It is a super-2 number, since 2×108680² = 23622684800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 5711 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2¹⁰⁸⁶⁸⁰ is an apocalyptic number.

108680 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 108680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

108680 is an abundant number, since it is smaller than the sum of its proper divisors (193720).

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

108680 is a wasteful number, since it uses less digits than its factorization.

108680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 108680 is about 329.6664981462. Note that the first 3 decimals coincide. The cubic root of 108680 is about 47.7217699971.

The spelling of 108680 in words is "one hundred eight thousand, six hundred eighty".