107357413 has 2 divisors, whose sum is σ = 107357414. Its totient is φ = 107357412.

The previous prime is 107357351. The next prime is 107357441. The reversal of 107357413 is 314753701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106151809 + 1205604 = 10303^2 + 1098^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107357413 is a prime.

It is a super-2 number, since 2×107357413² = 23051228252105138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107357473) 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 as a sum of consecutive naturals, namely, 53678706 + 53678707.

It is an arithmetic number, because the mean of its divisors is an integer number (53678707).

Almost surely, 2^107357413 is an apocalyptic number.

It is an amenable number.

107357413 is a deficient number, since it is larger than the sum of its proper divisors (1).

107357413 is an equidigital number, since it uses as much as digits as its factorization.

107357413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 107357413 is about 10361.3422393047. The cubic root of 107357413 is about 475.2739516659.

The spelling of 107357413 in words is "one hundred seven million, three hundred fifty-seven thousand, four hundred thirteen".