108560 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 40832.

The previous prime is 108557. The next prime is 108571. The reversal of 108560 is 65801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811 + ... + 1869.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁰⁸⁵⁶⁰ is an apocalyptic number.

108560 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 108560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

108560 is an abundant number, since it is smaller than the sum of its proper divisors (159280).

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

108560 is a wasteful number, since it uses less digits than its factorization.

108560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 108560 is about 329.4844457634. The cubic root of 108560 is about 47.7041993880.

The spelling of 108560 in words is "one hundred eight thousand, five hundred sixty".