107453972320 has 192 divisors, whose sum is σ = 271593907200. Its totient is φ = 40083417088.

The previous prime is 107453972303. The next prime is 107453972323. The reversal of 107453972320 is 23279354701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107453972323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32570031 + ... + 32573329.

It is an arithmetic number, because the mean of its divisors is an integer number (1414551600).

Almost surely, 2^107453972320 is an apocalyptic number.

107453972320 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 107453972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135796953600).

107453972320 is an abundant number, since it is smaller than the sum of its proper divisors (164139934880).

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

107453972320 is a wasteful number, since it uses less digits than its factorization.

107453972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 107453972320 in words is "one hundred seven billion, four hundred fifty-three million, nine hundred seventy-two thousand, three hundred twenty".