107680904517481 has 9 divisors (see below), whose sum is σ = 108737579463741. Its totient is φ = 106634400394572.

The previous prime is 107680904517451. The next prime is 107680904517521. The reversal of 107680904517481 is 184715409086701.

The square root of 107680904517481 is 10376941.

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

It is not a de Polignac number, because 107680904517481 - 2⁷ = 107680904517353 is a prime.

It is a super-2 number, since 2×107680904517481² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107680904517451) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1068774550 + ... + 1068875296.

It is an arithmetic number, because the mean of its divisors is an integer number (12081953273749).

Almost surely, 2^{107680904517481} is an apocalyptic number.

107680904517481 is the 10376941-st square number.

107680904517481 is the 5188471-st centered octagonal number.

It is an amenable number.

107680904517481 is a deficient number, since it is larger than the sum of its proper divisors (1056674946260).

107680904517481 is an frugal number, since it uses more digits than its factorization.

107680904517481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201700 (or 100850 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 61.

The spelling of 107680904517481 in words is "one hundred seven trillion, six hundred eighty billion, nine hundred four million, five hundred seventeen thousand, four hundred eighty-one".