105624713 has 2 divisors, whose sum is σ = 105624714. Its totient is φ = 105624712.

The previous prime is 105624703. The next prime is 105624767. The reversal of 105624713 is 317426501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64048009 + 41576704 = 8003^2 + 6448^2 .

It is a cyclic number.

It is not a de Polignac number, because 105624713 - 2⁴ = 105624697 is a prime.

It is a super-2 number, since 2×105624713² = 22313159992664738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105624703) 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, 52812356 + 52812357.

It is an arithmetic number, because the mean of its divisors is an integer number (52812357).

Almost surely, 2^105624713 is an apocalyptic number.

It is an amenable number.

105624713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105624713 is an equidigital number, since it uses as much as digits as its factorization.

105624713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105624713 is about 10277.3884328656. The cubic root of 105624713 is about 472.7031691617.

The spelling of 105624713 in words is "one hundred five million, six hundred twenty-four thousand, seven hundred thirteen".