108954160 has 80 divisors (see below), whose sum is σ = 299534400. Its totient is φ = 36062208.

The previous prime is 108954143. The next prime is 108954161. The reversal of 108954160 is 61459801.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (108954161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12886 + ... + 19594.

It is an arithmetic number, because the mean of its divisors is an integer number (3744180).

Almost surely, 2^108954160 is an apocalyptic number.

108954160 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 108954160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149767200).

108954160 is an abundant number, since it is smaller than the sum of its proper divisors (190580240).

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

108954160 is a wasteful number, since it uses less digits than its factorization.

108954160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 108954160 is about 10438.1109402037. The cubic root of 108954160 is about 477.6186450788.

The spelling of 108954160 in words is "one hundred eight million, nine hundred fifty-four thousand, one hundred sixty".