108086400 has 288 divisors, whose sum is σ = 402838800. Its totient is φ = 28615680.

The previous prime is 108086389. The next prime is 108086479. The reversal of 108086400 is 4680801.

108086400 is a `hidden beast` number, since 10 + 8 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777531 + ... + 777669.

Almost surely, 2^108086400 is an apocalyptic number.

108086400 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 108086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201419400).

108086400 is an abundant number, since it is smaller than the sum of its proper divisors (294752400).

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

108086400 is an equidigital number, since it uses as much as digits as its factorization.

108086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

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

The square root of 108086400 is about 10396.4609362994. The cubic root of 108086400 is about 476.3472738251.

The spelling of 108086400 in words is "one hundred eight million, eighty-six thousand, four hundred".