108576400 has 45 divisors (see below), whose sum is σ = 261356443. Its totient is φ = 43347200.

The previous prime is 108576397. The next prime is 108576407. The reversal of 108576400 is 4675801.

The square root of 108576400 is 10420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13630864 + 94945536 = 3692^2 + 9744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108576407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 208140 + ... + 208660.

Almost surely, 2^108576400 is an apocalyptic number.

108576400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108576400 is the 10420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108576400

108576400 is an abundant number, since it is smaller than the sum of its proper divisors (152780043).

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

108576400 is an frugal number, since it uses more digits than its factorization.

108576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 108576400 is about 477.0660146816.

The spelling of 108576400 in words is "one hundred eight million, five hundred seventy-six thousand, four hundred".