105657313 has 2 divisors, whose sum is σ = 105657314. Its totient is φ = 105657312.

The previous prime is 105657289. The next prime is 105657317. The reversal of 105657313 is 313756501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96275344 + 9381969 = 9812^2 + 3063^2 .

It is a cyclic number.

It is not a de Polignac number, because 105657313 - 2⁵ = 105657281 is a prime.

It is a super-2 number, since 2×105657313² = 22326935580759938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105657317) 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, 52828656 + 52828657.

It is an arithmetic number, because the mean of its divisors is an integer number (52828657).

Almost surely, 2^105657313 is an apocalyptic number.

It is an amenable number.

105657313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105657313 is an equidigital number, since it uses as much as digits as its factorization.

105657313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 105657313 is about 10278.9743165357. The cubic root of 105657313 is about 472.7517958443.

The spelling of 105657313 in words is "one hundred five million, six hundred fifty-seven thousand, three hundred thirteen".