108608256 has 144 divisors (see below), whose sum is σ = 338486400. Its totient is φ = 34255872.

The previous prime is 108608251. The next prime is 108608261. The reversal of 108608256 is 652806801.

108608256 = T₄₀ + T₄₁ + ... + T₈₆₆.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108608251) and next prime (108608261).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108608256.

It is not an unprimeable number, because it can be changed into a prime (108608251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130915 + ... + 131741.

It is an arithmetic number, because the mean of its divisors is an integer number (2350600).

Almost surely, 2^108608256 is an apocalyptic number.

108608256 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 108608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169243200).

108608256 is an abundant number, since it is smaller than the sum of its proper divisors (229878144).

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

108608256 is an equidigital number, since it uses as much as digits as its factorization.

108608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 108608256 is about 10421.5284867432. The cubic root of 108608256 is about 477.1126667132.

The spelling of 108608256 in words is "one hundred eight million, six hundred eight thousand, two hundred fifty-six".