107018309 has 2 divisors, whose sum is σ = 107018310. Its totient is φ = 107018308.

The previous prime is 107018299. The next prime is 107018321. The reversal of 107018309 is 903810701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101566084 + 5452225 = 10078^2 + 2335^2 .

It is a cyclic number.

It is not a de Polignac number, because 107018309 - 2²⁰ = 105969733 is a prime.

It is a super-2 number, since 2×107018309² = 22905836922438962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107018399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53509154 + 53509155.

It is an arithmetic number, because the mean of its divisors is an integer number (53509155).

Almost surely, 2^107018309 is an apocalyptic number.

It is an amenable number.

107018309 is a deficient number, since it is larger than the sum of its proper divisors (1).

107018309 is an equidigital number, since it uses as much as digits as its factorization.

107018309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 107018309 is about 10344.9653938522. The cubic root of 107018309 is about 474.7730165741.

The spelling of 107018309 in words is "one hundred seven million, eighteen thousand, three hundred nine".