107080253568 has 192 divisors, whose sum is σ = 323471865600. Its totient is φ = 33955891200.

The previous prime is 107080253551. The next prime is 107080253593. The reversal of 107080253568 is 865352080701.

107080253568 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 80 + 2 + 5 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×107080253568² (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 23 ways as a sum of consecutive naturals, for example, 2081598 + ... + 2132418.

It is an arithmetic number, because the mean of its divisors is an integer number (1684749300).

Almost surely, 2^107080253568 is an apocalyptic number.

107080253568 is a gapful number since it is divisible by the number (18) 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 107080253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161735932800).

107080253568 is an abundant number, since it is smaller than the sum of its proper divisors (216391612032).

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

107080253568 is a wasteful number, since it uses less digits than its factorization.

107080253568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50931 (or 50916 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 107080253568 in words is "one hundred seven billion, eighty million, two hundred fifty-three thousand, five hundred sixty-eight".