108638929 has 9 divisors (see below), whose sum is σ = 126460827. Its totient is φ = 93056544.

The previous prime is 108638917. The next prime is 108638939. The reversal of 108638929 is 929836801.

The square root of 108638929 is 10423.

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., 23261329 + 85377600 = 4823^2 + 9240^2 .

It is not a de Polignac number, because 108638929 - 2⁵ = 108638897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108638939) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72217 + ... + 73705.

It is an arithmetic number, because the mean of its divisors is an integer number (14051203).

Almost surely, 2^108638929 is an apocalyptic number.

108638929 is the 10423-rd square number.

108638929 is the 5212-nd centered octagonal number.

It is an amenable number.

108638929 is a deficient number, since it is larger than the sum of its proper divisors (17821898).

108638929 is an frugal number, since it uses more digits than its factorization.

108638929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The cubic root of 108638929 is about 477.1575776616.

Multiplying 108638929 by its product of nonzero digits (186624), we get a square (20274631485696 = 4502736²).

The spelling of 108638929 in words is "one hundred eight million, six hundred thirty-eight thousand, nine hundred twenty-nine".