108589361841 has 9 divisors (see below), whose sum is σ = 156852728409. Its totient is φ = 72392248836.

The previous prime is 108589361831. The next prime is 108589361873. The reversal of 108589361841 is 148163985801.

It is a happy number.

The square root of 108589361841 is 329529.

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

108589361841 is a `hidden beast` number, since 1 + 0 + 8 + 589 + 3 + 6 + 18 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-108589361841 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (108589361831) 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 8 ways as a sum of consecutive naturals, for example, 933666 + ... + 1043508.

Almost surely, 2^108589361841 is an apocalyptic number.

108589361841 is the 329529-th square number.

108589361841 is the 164765-th centered octagonal number.

It is an amenable number.

108589361841 is a deficient number, since it is larger than the sum of its proper divisors (48263366568).

108589361841 is an frugal number, since it uses more digits than its factorization.

108589361841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219692 (or 109846 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 108589361841 in words is "one hundred eight billion, five hundred eighty-nine million, three hundred sixty-one thousand, eight hundred forty-one".