108160 has 48 divisors (see below), whose sum is σ = 279990. Its totient is φ = 39936.

The previous prime is 108139. The next prime is 108161. The reversal of 108160 is 61801.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 61504 = 216^2 + 248^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (108161) by changing a digit.

108160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8314 + ... + 8326.

2¹⁰⁸¹⁶⁰ is an apocalyptic number.

108160 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 108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139995).

108160 is an abundant number, since it is smaller than the sum of its proper divisors (171830).

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

108160 is an equidigital number, since it uses as much as digits as its factorization.

108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 108160 is about 328.8768766575. The cubic root of 108160 is about 47.6455370079.

Adding to 108160 its reverse (61801), we get a palindrome (169961).

The spelling of 108160 in words is "one hundred eight thousand, one hundred sixty".