108346400 has 36 divisors (see below), whose sum is σ = 264502602. Its totient is φ = 43338240.

The previous prime is 108346391. The next prime is 108346439. The reversal of 108346400 is 4643801.

It can be written as a sum of positive squares in 3 ways, for example, as 105925264 + 2421136 = 10292^2 + 1556^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 108346400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66917 + ... + 68516.

Almost surely, 2^108346400 is an apocalyptic number.

108346400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108346400 is an abundant number, since it is smaller than the sum of its proper divisors (156156202).

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

108346400 is a wasteful number, since it uses less digits than its factorization.

108346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135453 (or 135440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 108346400 is about 10408.9576807671. The cubic root of 108346400 is about 476.7289164033.

The spelling of 108346400 in words is "one hundred eight million, three hundred forty-six thousand, four hundred".