107264755260756 has 72 divisors (see below), whose sum is σ = 280524142178280. Its totient is φ = 34517932130304.

The previous prime is 107264755260731. The next prime is 107264755260757. The reversal of 107264755260756 is 657062557462701.

107264755260756 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 6 + 4 + 7 + 552 + 6 + 0 + 75 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43540202250000 + 63724553010756 = 6598500^2 + 7982766^2 .

It is a super-2 number, since 2×107264755260756² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107264755260693 and 107264755260702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107264755260757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2853036 + ... + 14922108.

It is an arithmetic number, because the mean of its divisors is an integer number (3896168641365).

Almost surely, 2^{107264755260756} is an apocalyptic number.

It is an amenable number.

107264755260756 is an abundant number, since it is smaller than the sum of its proper divisors (173259386917524).

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

107264755260756 is a wasteful number, since it uses less digits than its factorization.

107264755260756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077625 (or 12077620 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 107264755260756 in words is "one hundred seven trillion, two hundred sixty-four billion, seven hundred fifty-five million, two hundred sixty thousand, seven hundred fifty-six".