107320574979072 has 1056 divisors, whose sum is σ = 416342506944000. Its totient is φ = 26814518525952.

The previous prime is 107320574979017. The next prime is 107320574979077. The reversal of 107320574979072 is 270979475023701.

107320574979072 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 2 + 0 + 57 + 497 + 90 + 7 + 2 = 666.

It is a super-4 number, since 4×107320574979072⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (107320574979077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430105804 + ... + 430355252.

Almost surely, 2^{107320574979072} is an apocalyptic number.

107320574979072 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 107320574979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208171253472000).

107320574979072 is an abundant number, since it is smaller than the sum of its proper divisors (309021931964928).

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

107320574979072 is a wasteful number, since it uses less digits than its factorization.

107320574979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249523 (or 249493 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 107320574979072 in words is "one hundred seven trillion, three hundred twenty billion, five hundred seventy-four million, nine hundred seventy-nine thousand, seventy-two".