108689561761 has 81 divisors (see below), whose sum is σ = 133175982009. Its totient is φ = 88618252800.

The previous prime is 108689561681. The next prime is 108689561801. The reversal of 108689561761 is 167165986801.

The square root of 108689561761 is 329681.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7657125025 + 101032436736 = 87505^2 + 317856^2 .

It is not a de Polignac number, because 108689561761 - 2²⁵ = 108656007329 is a prime.

It is a super-2 number, since 2×108689561761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 108689561696 and 108689561705.

It is not an unprimeable number, because it can be changed into a prime (108689561861) 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 80 ways as a sum of consecutive naturals, for example, 2527664206 + ... + 2527664248.

Almost surely, 2^108689561761 is an apocalyptic number.

108689561761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

108689561761 is the 329681-st square number.

108689561761 is the 164841-st centered octagonal number.

It is an amenable number.

108689561761 is a deficient number, since it is larger than the sum of its proper divisors (24486420248).

108689561761 is an equidigital number, since it uses as much as digits as its factorization.

108689561761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 108689561761 in words is "one hundred eight billion, six hundred eighty-nine million, five hundred sixty-one thousand, seven hundred sixty-one".