107331106320 has 640 divisors, whose sum is σ = 403517030400. Its totient is φ = 26147100672.

The previous prime is 107331106261. The next prime is 107331106327. The reversal of 107331106320 is 23601133701.

107331106320 is a `hidden beast` number, since 1 + 0 + 7 + 331 + 1 + 0 + 6 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (107331106327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100402746 + ... + 100403814.

It is an arithmetic number, because the mean of its divisors is an integer number (630495360).

Almost surely, 2^107331106320 is an apocalyptic number.

107331106320 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 107331106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201758515200).

107331106320 is an abundant number, since it is smaller than the sum of its proper divisors (296185924080).

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

107331106320 is a wasteful number, since it uses less digits than its factorization.

107331106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 107331106320 in words is "one hundred seven billion, three hundred thirty-one million, one hundred six thousand, three hundred twenty".