108668160 has 108 divisors (see below), whose sum is σ = 376020372. Its totient is φ = 28975104.

The previous prime is 108668143. The next prime is 108668167. The reversal of 108668160 is 61866801.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 51151104 = 7584^2 + 7152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108668167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6804 + ... + 16236.

Almost surely, 2^108668160 is an apocalyptic number.

108668160 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 108668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188010186).

108668160 is an abundant number, since it is smaller than the sum of its proper divisors (267352212).

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

108668160 is an equidigital number, since it uses as much as digits as its factorization.

108668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 108668160 is about 10424.4021411302. The cubic root of 108668160 is about 477.2003693893.

The spelling of 108668160 in words is "one hundred eight million, six hundred sixty-eight thousand, one hundred sixty".