107327656881 has 45 divisors (see below), whose sum is σ = 162548084721. Its totient is φ = 70574841216.

The previous prime is 107327656879. The next prime is 107327656901. The reversal of 107327656881 is 188656723701.

It is a happy number.

The square root of 107327656881 is 327609.

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

107327656881 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 2 + 76 + 568 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2584807281 + 104742849600 = 50841^2 + 323640^2 .

It is not a de Polignac number, because 107327656881 - 2¹ = 107327656879 is a prime.

It is a super-2 number, since 2×107327656881² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107327656181) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 262414605 + ... + 262415013.

Almost surely, 2^107327656881 is an apocalyptic number.

107327656881 is the 327609-th square number.

107327656881 is the 163805-th centered octagonal number.

It is an amenable number.

107327656881 is a deficient number, since it is larger than the sum of its proper divisors (55220427840).

107327656881 is an frugal number, since it uses more digits than its factorization.

107327656881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 107327656881 in words is "one hundred seven billion, three hundred twenty-seven million, six hundred fifty-six thousand, eight hundred eighty-one".