108948185329 has 27 divisors (see below), whose sum is σ = 115819728843. Its totient is φ = 102475783872.

The previous prime is 108948185309. The next prime is 108948185341. The reversal of 108948185329 is 923581849801.

The square root of 108948185329 is 330073.

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

It can be written as a sum of positive squares in only one way, i.e., 1919754225 + 107028431104 = 43815^2 + 327152^2 .

It is not a de Polignac number, because 108948185329 - 2¹⁵ = 108948152561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108948185309) 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, 857859664 + ... + 857859790.

Almost surely, 2^108948185329 is an apocalyptic number.

108948185329 is the 330073-rd square number.

108948185329 is the 165037-th centered octagonal number.

It is an amenable number.

108948185329 is a deficient number, since it is larger than the sum of its proper divisors (6871543514).

108948185329 is an frugal number, since it uses more digits than its factorization.

108948185329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 108948185329 in words is "one hundred eight billion, nine hundred forty-eight million, one hundred eighty-five thousand, three hundred twenty-nine".