108937920 has 448 divisors, whose sum is σ = 450616320. Its totient is φ = 21676032.

The previous prime is 108937903. The next prime is 108937951. The reversal of 108937920 is 29739801.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2533419 + ... + 2533461.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^108937920 is an apocalyptic number.

108937920 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 108937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

108937920 is an abundant number, since it is smaller than the sum of its proper divisors (341678400).

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

108937920 is a wasteful number, since it uses less digits than its factorization.

108937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 108937920 is about 10437.3329926759. The cubic root of 108937920 is about 477.5949136545.

The spelling of 108937920 in words is "one hundred eight million, nine hundred thirty-seven thousand, nine hundred twenty".