107577111681 has 48 divisors (see below), whose sum is σ = 178314920784. Its totient is φ = 61910065152.

The previous prime is 107577111667. The next prime is 107577111683. The reversal of 107577111681 is 186111775701.

107577111681 is a `hidden beast` number, since 1 + 0 + 7 + 577 + 1 + 11 + 68 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9511056 + 107567600625 = 3084^2 + 327975^2 .

It is not a de Polignac number, because 107577111681 - 2⁷ = 107577111553 is a prime.

It is a super-2 number, since 2×107577111681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107577111683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140025 + ... + 484521.

It is an arithmetic number, because the mean of its divisors is an integer number (3714894183).

Almost surely, 2^107577111681 is an apocalyptic number.

It is an amenable number.

107577111681 is a deficient number, since it is larger than the sum of its proper divisors (70737809103).

107577111681 is a wasteful number, since it uses less digits than its factorization.

107577111681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344690 (or 344687 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 45.

The spelling of 107577111681 in words is "one hundred seven billion, five hundred seventy-seven million, one hundred eleven thousand, six hundred eighty-one".