107097414912 has 432 divisors, whose sum is σ = 359181164160. Its totient is φ = 30441996288.

The previous prime is 107097414901. The next prime is 107097414913. The reversal of 107097414912 is 219414790701.

107097414912 is a `hidden beast` number, since 1 + 0 + 70 + 97 + 4 + 1 + 491 + 2 = 666.

It is a super-2 number, since 2×107097414912² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107097414913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17113288 + ... + 17119544.

It is an arithmetic number, because the mean of its divisors is an integer number (831437880).

Almost surely, 2^107097414912 is an apocalyptic number.

107097414912 is a gapful number since it is divisible by the number (12) 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 107097414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179590582080).

107097414912 is an abundant number, since it is smaller than the sum of its proper divisors (252083749248).

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

107097414912 is a wasteful number, since it uses less digits than its factorization.

107097414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 107097414912 in words is "one hundred seven billion, ninety-seven million, four hundred fourteen thousand, nine hundred twelve".