107312957 has 2 divisors, whose sum is σ = 107312958. Its totient is φ = 107312956.

The previous prime is 107312951. The next prime is 107312971. The reversal of 107312957 is 759213701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82919236 + 24393721 = 9106^2 + 4939^2 .

It is a cyclic number.

It is not a de Polignac number, because 107312957 - 2¹⁸ = 107050813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107312951) 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 as a sum of consecutive naturals, namely, 53656478 + 53656479.

It is an arithmetic number, because the mean of its divisors is an integer number (53656479).

Almost surely, 2^107312957 is an apocalyptic number.

It is an amenable number.

107312957 is a deficient number, since it is larger than the sum of its proper divisors (1).

107312957 is an equidigital number, since it uses as much as digits as its factorization.

107312957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 107312957 is about 10359.1967352686. The cubic root of 107312957 is about 475.2083400008.

The spelling of 107312957 in words is "one hundred seven million, three hundred twelve thousand, nine hundred fifty-seven".