107329313 has 16 divisors (see below), whose sum is σ = 139870080. Its totient is φ = 79923456.

The previous prime is 107329303. The next prime is 107329331. The reversal of 107329313 is 313923701.

It is a cyclic number.

It is not a de Polignac number, because 107329313 - 2⁶ = 107329249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107329303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33143 + ... + 36236.

It is an arithmetic number, because the mean of its divisors is an integer number (8741880).

Almost surely, 2^107329313 is an apocalyptic number.

107329313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107329313 is a deficient number, since it is larger than the sum of its proper divisors (32540767).

107329313 is a wasteful number, since it uses less digits than its factorization.

107329313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69416.

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 107329313 is about 10359.9861486394. The cubic root of 107329313 is about 475.2324815800.

The spelling of 107329313 in words is "one hundred seven million, three hundred twenty-nine thousand, three hundred thirteen".