108806400 has 162 divisors, whose sum is σ = 389213370. Its totient is φ = 28999680.

The previous prime is 108806377. The next prime is 108806413. The reversal of 108806400 is 4608801.

108806400 is a `hidden beast` number, since 10 + 8 + 8 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6230016 + 102576384 = 2496^2 + 10128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56656 + ... + 58544.

Almost surely, 2^108806400 is an apocalyptic number.

108806400 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 108806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194606685).

108806400 is an abundant number, since it is smaller than the sum of its proper divisors (280406970).

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

108806400 is a wasteful number, since it uses less digits than its factorization.

108806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108806400 is about 10431.0306298084. The cubic root of 108806400 is about 477.4026372399.

The spelling of 108806400 in words is "one hundred eight million, eight hundred six thousand, four hundred".