108509534737681 has 27 divisors (see below), whose sum is σ = 138744621952713. Its totient is φ = 84552259203720.

The previous prime is 108509534737661. The next prime is 108509534737733. The reversal of 108509534737681 is 186737435905801.

The square root of 108509534737681 is 10416791.

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

It is not a de Polignac number, because 108509534737681 - 2⁹ = 108509534737169 is a prime.

It is a super-2 number, since 2×108509534737681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108509534737651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 802025266 + ... + 802160548.

Almost surely, 2^{108509534737681} is an apocalyptic number.

108509534737681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

108509534737681 is the 10416791-st square number.

108509534737681 is the 5208396-th centered octagonal number.

It is an amenable number.

108509534737681 is a deficient number, since it is larger than the sum of its proper divisors (30235087215032).

108509534737681 is an frugal number, since it uses more digits than its factorization.

108509534737681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270602 (or 135301 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 108509534737681 in words is "one hundred eight trillion, five hundred nine billion, five hundred thirty-four million, seven hundred thirty-seven thousand, six hundred eighty-one".