93109809321 has 27 divisors (see below), whose sum is σ = 138275405541. Its totient is φ = 60373581984.

The previous prime is 93109809283. The next prime is 93109809323. The reversal of 93109809321 is 12390890139.

It is a happy number.

The square root of 93109809321 is 305139.

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

93109809321 is a `hidden beast` number, since 9 + 310 + 9 + 8 + 0 + 9 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45765225 + 93064044096 = 6765^2 + 305064^2 .

It is not a de Polignac number, because 93109809321 - 2¹⁹ = 93109285033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93109809323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33869055 + ... + 33871803.

Almost surely, 2^93109809321 is an apocalyptic number.

93109809321 is the 305139-th square number.

93109809321 is the 152570-th centered octagonal number.

It is an amenable number.

93109809321 is a deficient number, since it is larger than the sum of its proper divisors (45165596220).

93109809321 is an frugal number, since it uses more digits than its factorization.

93109809321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 93109809321 in words is "ninety-three billion, one hundred nine million, eight hundred nine thousand, three hundred twenty-one".