100939008681 has 105 divisors (see below), whose sum is σ = 180448927905. Its totient is φ = 56272618080.

The previous prime is 100939008649. The next prime is 100939008691. The reversal of 100939008681 is 186800939001.

The square root of 100939008681 is 317709.

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

100939008681 is a `hidden beast` number, since 100 + 9 + 390 + 0 + 86 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82421242281 + 18517766400 = 287091^2 + 136080^2 .

It is not a de Polignac number, because 100939008681 - 2⁵ = 100939008649 is a prime.

It is a super-2 number, since 2×100939008681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100939008691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2461927021 + ... + 2461927061.

Almost surely, 2^100939008681 is an apocalyptic number.

100939008681 is the 317709-th square number.

100939008681 is the 158855-th centered octagonal number.

It is an amenable number.

100939008681 is a deficient number, since it is larger than the sum of its proper divisors (79509919224).

100939008681 is an frugal number, since it uses more digits than its factorization.

100939008681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 100939008681 in words is "one hundred billion, nine hundred thirty-nine million, eight thousand, six hundred eighty-one".