107645319 has 12 divisors (see below), whose sum is σ = 155643696. Its totient is φ = 71691552.

The previous prime is 107645311. The next prime is 107645341. The reversal of 107645319 is 913546701.

107645319 is a `hidden beast` number, since 1 + 0 + 7 + 645 + 3 + 1 + 9 = 666.

It is not a de Polignac number, because 107645319 - 2³ = 107645311 is a prime.

It is a super-2 number, since 2×107645319² = 23175029405223522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107645311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4422 + ... + 15324.

It is an arithmetic number, because the mean of its divisors is an integer number (12970308).

Almost surely, 2^107645319 is an apocalyptic number.

107645319 is a deficient number, since it is larger than the sum of its proper divisors (47998377).

107645319 is a wasteful number, since it uses less digits than its factorization.

107645319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006 (or 12003 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 107645319 is about 10375.2262144013. The cubic root of 107645319 is about 475.6984281317.

The spelling of 107645319 in words is "one hundred seven million, six hundred forty-five thousand, three hundred nineteen".