108360 has 96 divisors (see below), whose sum is σ = 411840. Its totient is φ = 24192.

The previous prime is 108359. The next prime is 108377. The reversal of 108360 is 63801.

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, 2499 + ... + 2541.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

2¹⁰⁸³⁶⁰ is an apocalyptic number.

108360 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 108360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205920).

108360 is an abundant number, since it is smaller than the sum of its proper divisors (303480).

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

108360 is a wasteful number, since it uses less digits than its factorization.

108360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 108360 is about 329.1808013843. The cubic root of 108360 is about 47.6748862434.

It can be divided in two parts, 1083 and 60, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 108360 in words is "one hundred eight thousand, three hundred sixty".