108600 has 48 divisors (see below), whose sum is σ = 338520. Its totient is φ = 28800.

The previous prime is 108587. The next prime is 108631. The reversal of 108600 is 6801.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 108600.

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 108600.

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 11 ways as a sum of consecutive naturals, for example, 510 + ... + 690.

2¹⁰⁸⁶⁰⁰ is an apocalyptic number.

108600 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 108600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260).

108600 is an abundant number, since it is smaller than the sum of its proper divisors (229920).

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

108600 is a wasteful number, since it uses less digits than its factorization.

108600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 108600 is about 329.5451410657. The cubic root of 108600 is about 47.7100576957.

The spelling of 108600 in words is "one hundred eight thousand, six hundred".