108938880 has 96 divisors (see below), whose sum is σ = 376199460. Its totient is φ = 29048832.

The previous prime is 108938831. The next prime is 108938891. The reversal of 108938880 is 88839801.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 5875776 = 10152^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3697 + ... + 15216.

Almost surely, 2^108938880 is an apocalyptic number.

108938880 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 108938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188099730).

108938880 is an abundant number, since it is smaller than the sum of its proper divisors (267260580).

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

108938880 is a wasteful number, since it uses less digits than its factorization.

108938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18938 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 108938880 is about 10437.3789813343. The cubic root of 108938880 is about 477.5963165629.

The spelling of 108938880 in words is "one hundred eight million, nine hundred thirty-eight thousand, eight hundred eighty".