107128319 has 12 divisors (see below), whose sum is σ = 112520016. Its totient is φ = 101985312.

The previous prime is 107128277. The next prime is 107128331. The reversal of 107128319 is 913821701.

It is not a de Polignac number, because 107128319 - 2²⁴ = 90351103 is a prime.

It is a super-2 number, since 2×107128319² = 22952953463531522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107128019) 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 11 ways as a sum of consecutive naturals, for example, 165254 + ... + 165900.

It is an arithmetic number, because the mean of its divisors is an integer number (9376668).

Almost surely, 2^107128319 is an apocalyptic number.

107128319 is a deficient number, since it is larger than the sum of its proper divisors (5391697).

107128319 is an equidigital number, since it uses as much as digits as its factorization.

107128319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 107128319 is about 10350.2811072937. The cubic root of 107128319 is about 474.9356426195.

The spelling of 107128319 in words is "one hundred seven million, one hundred twenty-eight thousand, three hundred nineteen".