107080462424961 has 27 divisors (see below), whose sum is σ = 156822914026467. Its totient is φ = 70407581076000.

The previous prime is 107080462424921. The next prime is 107080462425059. The reversal of 107080462424961 is 169424264080701.

The square root of 107080462424961 is 10347969.

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

107080462424961 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 8 + 0 + 4 + 624 + 2 + 4 + 9 + 6 + 1 = 666.

107080462424961 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 60784086852225 + 46296375572736 = 7796415^2 + 6804144^2 .

It is not a de Polignac number, because 107080462424961 - 2¹⁵ = 107080462392193 is a prime.

It is a super-2 number, since 2×107080462424961² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107080462424898 and 107080462424907.

It is not an unprimeable number, because it can be changed into a prime (107080462424921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2266181586 + ... + 2266228836.

Almost surely, 2^{107080462424961} is an apocalyptic number.

107080462424961 is the 10347969-th square number.

107080462424961 is the 5173985-th centered octagonal number.

It is an amenable number.

107080462424961 is a deficient number, since it is larger than the sum of its proper divisors (49742451601506).

107080462424961 is an frugal number, since it uses more digits than its factorization.

107080462424961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94654 (or 47327 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 107080462424961 in words is "one hundred seven trillion, eighty billion, four hundred sixty-two million, four hundred twenty-four thousand, nine hundred sixty-one".