108638880 has 288 divisors, whose sum is σ = 413683200. Its totient is φ = 23869440.

The previous prime is 108638851. The next prime is 108638897. The reversal of 108638880 is 88836801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729046 + ... + 729194.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^108638880 is an apocalyptic number.

108638880 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 108638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

108638880 is an abundant number, since it is smaller than the sum of its proper divisors (305044320).

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

108638880 is a wasteful number, since it uses less digits than its factorization.

108638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 108638880 is about 10422.9976494289. The cubic root of 108638880 is about 477.1575059233.

The spelling of 108638880 in words is "one hundred eight million, six hundred thirty-eight thousand, eight hundred eighty".