107961970725625 has 45 divisors (see below), whose sum is σ = 136664584539483. Its totient is φ = 85260081660000.

The previous prime is 107961970725619. The next prime is 107961970725649. The reversal of 107961970725625 is 526527079169701.

The square root of 107961970725625 is 10390475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 57054259444329 + 50907711281296 = 7553427^2 + 7134964^2 .

It is not a de Polignac number, because 107961970725625 - 2³ = 107961970725617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20521185495 + ... + 20521190755.

Almost surely, 2^{107961970725625} is an apocalyptic number.

107961970725625 is the 10390475-th square number.

107961970725625 is the 5195238-th centered octagonal number.

It is an amenable number.

107961970725625 is a deficient number, since it is larger than the sum of its proper divisors (28702613813858).

107961970725625 is an frugal number, since it uses more digits than its factorization.

107961970725625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 67.

The spelling of 107961970725625 in words is "one hundred seven trillion, nine hundred sixty-one billion, nine hundred seventy million, seven hundred twenty-five thousand, six hundred twenty-five".