107931321 has 9 divisors (see below), whose sum is σ = 155945829. Its totient is φ = 71933436.

The previous prime is 107931259. The next prime is 107931323. The reversal of 107931321 is 123139701.

The square root of 107931321 is 10389.

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

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

It is not a de Polignac number, because 107931321 - 2¹⁷ = 107800249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107931323) 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, 29436 + ... + 32898.

Almost surely, 2^107931321 is an apocalyptic number.

107931321 is the 10389-th square number.

107931321 is the 5195-th centered octagonal number.

It is an amenable number.

107931321 is a deficient number, since it is larger than the sum of its proper divisors (48014508).

107931321 is an frugal number, since it uses more digits than its factorization.

107931321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The cubic root of 107931321 is about 476.1193487067.

It can be divided in two parts, 1079 and 31321, that added together give a square (32400 = 180²).

The spelling of 107931321 in words is "one hundred seven million, nine hundred thirty-one thousand, three hundred twenty-one".