107927560214761 has 81 divisors (see below), whose sum is σ = 135492271109559. Its totient is φ = 85702271453568.

The previous prime is 107927560214731. The next prime is 107927560214767. The reversal of 107927560214761 is 167412065729701.

The square root of 107927560214761 is 10388819.

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

It can be written as a sum of positive squares in only one way, i.e., 84026647226025 + 23900912988736 = 9166605^2 + 4888856^2 .

It is not a de Polignac number, because 107927560214761 - 2²¹ = 107927558117609 is a prime.

It is a super-2 number, since 2×107927560214761² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107927560214696 and 107927560214705.

It is not an unprimeable number, because it can be changed into a prime (107927560214767) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82830053236 + ... + 82830054538.

Almost surely, 2^{107927560214761} is an apocalyptic number.

107927560214761 is the 10388819-th square number.

107927560214761 is the 5194410-th centered octagonal number.

It is an amenable number.

107927560214761 is a deficient number, since it is larger than the sum of its proper divisors (27564710894798).

107927560214761 is an frugal number, since it uses more digits than its factorization.

107927560214761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 107927560214761 in words is "one hundred seven trillion, nine hundred twenty-seven billion, five hundred sixty million, two hundred fourteen thousand, seven hundred sixty-one".