107597120400 has 1215 divisors, whose sum is σ = 484249330929. Its totient is φ = 22042944000.

The previous prime is 107597120383. The next prime is 107597120453. The reversal of 107597120400 is 4021795701.

It is a happy number.

The square root of 107597120400 is 328020.

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

107597120400 is a `hidden beast` number, since 1 + 0 + 7 + 597 + 1 + 20 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38734963344 + 68862157056 = 196812^2 + 262416^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1515452365 + ... + 1515452435.

Almost surely, 2^107597120400 is an apocalyptic number.

107597120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107597120400 is the 328020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107597120400

107597120400 is an abundant number, since it is smaller than the sum of its proper divisors (376652210529).

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

107597120400 is a wasteful number, since it uses less digits than its factorization.

107597120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 107597120400 by its sum of digits (36), we get a square (3873496334400 = 1968120²).

107597120400 divided by its sum of digits (36) gives a square (2988808900 = 54670²).

The spelling of 107597120400 in words is "one hundred seven billion, five hundred ninety-seven million, one hundred twenty thousand, four hundred".