108359856 has 150 divisors (see below), whose sum is σ = 345227036. Its totient is φ = 32788800.

The previous prime is 108359833. The next prime is 108359891. The reversal of 108359856 is 658953801.

108359856 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 598 + 56 = 666.

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 29 ways as a sum of consecutive naturals, for example, 156471 + ... + 157161.

Almost surely, 2^108359856 is an apocalyptic number.

108359856 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 108359856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172613518).

108359856 is an abundant number, since it is smaller than the sum of its proper divisors (236867180).

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

108359856 is a wasteful number, since it uses less digits than its factorization.

108359856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 108359856 is about 10409.6040270512. The cubic root of 108359856 is about 476.7486512499.

The spelling of 108359856 in words is "one hundred eight million, three hundred fifty-nine thousand, eight hundred fifty-six".