108972096 has 112 divisors (see below), whose sum is σ = 300410880. Its totient is φ = 34836480.

The previous prime is 108972029. The next prime is 108972103. The reversal of 108972096 is 690279801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857985 + ... + 858111.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 2^108972096 is an apocalyptic number.

108972096 is a gapful number since it is divisible by the number (16) 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 108972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

108972096 is an abundant number, since it is smaller than the sum of its proper divisors (191438784).

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

108972096 is a wasteful number, since it uses less digits than its factorization.

108972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 108972096 is about 10438.9700641395. The cubic root of 108972096 is about 477.6448521185.

The spelling of 108972096 in words is "one hundred eight million, nine hundred seventy-two thousand, ninety-six".