107338365 has 40 divisors (see below), whose sum is σ = 196542720. Its totient is φ = 56019168.

The previous prime is 107338351. The next prime is 107338373. The reversal of 107338365 is 563833701.

It is not a de Polignac number, because 107338365 - 2⁴ = 107338349 is a prime.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 16216 + ... + 21854.

It is an arithmetic number, because the mean of its divisors is an integer number (4913568).

Almost surely, 2^107338365 is an apocalyptic number.

107338365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107338365 is a deficient number, since it is larger than the sum of its proper divisors (89204355).

107338365 is an equidigital number, since it uses as much as digits as its factorization.

107338365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 107338365 is about 10360.4230125994. The cubic root of 107338365 is about 475.2458413459.

The spelling of 107338365 in words is "one hundred seven million, three hundred thirty-eight thousand, three hundred sixty-five".