107060913792 has 384 divisors, whose sum is σ = 371704320000. Its totient is φ = 29530884096.

The previous prime is 107060913769. The next prime is 107060913833. The reversal of 107060913792 is 297319060701.

107060913792 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 609 + 1 + 37 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×107060913792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11454273 + ... + 11463615.

It is an arithmetic number, because the mean of its divisors is an integer number (967980000).

Almost surely, 2^107060913792 is an apocalyptic number.

107060913792 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 107060913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185852160000).

107060913792 is an abundant number, since it is smaller than the sum of its proper divisors (264643406208).

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

107060913792 is an equidigital number, since it uses as much as digits as its factorization.

107060913792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 107060913792 in words is "one hundred seven billion, sixty million, nine hundred thirteen thousand, seven hundred ninety-two".