107302113 has 24 divisors (see below), whose sum is σ = 164512296. Its totient is φ = 67161600.

The previous prime is 107302103. The next prime is 107302127. The reversal of 107302113 is 311203701.

It can be written as a sum of positive squares in 4 ways, for example, as 52881984 + 54420129 = 7272^2 + 7377^2 .

It is not a de Polignac number, because 107302113 - 2²⁶ = 40193249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107302103) 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 23 ways as a sum of consecutive naturals, for example, 100603 + ... + 101663.

It is an arithmetic number, because the mean of its divisors is an integer number (6854679).

Almost surely, 2^107302113 is an apocalyptic number.

It is an amenable number.

107302113 is a deficient number, since it is larger than the sum of its proper divisors (57210183).

107302113 is a wasteful number, since it uses less digits than its factorization.

107302113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107302113 is about 10358.6733223903. The cubic root of 107302113 is about 475.1923328228.

Adding to 107302113 its reverse (311203701), we get a palindrome (418505814).

The spelling of 107302113 in words is "one hundred seven million, three hundred two thousand, one hundred thirteen".