107082656205625 has 15 divisors (see below), whose sum is σ = 133810810469193. Its totient is φ = 85665918003000.

The previous prime is 107082656205619. The next prime is 107082656205667. The reversal of 107082656205625 is 526502656280701.

The square root of 107082656205625 is 10348075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8395280246521 + 98687375959104 = 2897461^2 + 9934152^2 .

It is not a de Polignac number, because 107082656205625 - 2²³ = 107082647817017 is a prime.

It is a super-2 number, since 2×107082656205625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 258494914 + ... + 258908836.

Almost surely, 2^{107082656205625} is an apocalyptic number.

107082656205625 is the 10348075-th square number.

107082656205625 is the 5174038-th centered octagonal number.

It is an amenable number.

107082656205625 is a deficient number, since it is larger than the sum of its proper divisors (26728154263568).

107082656205625 is an frugal number, since it uses more digits than its factorization.

107082656205625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827866 (or 413928 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 107082656205625 in words is "one hundred seven trillion, eighty-two billion, six hundred fifty-six million, two hundred five thousand, six hundred twenty-five".