105791713 has 2 divisors, whose sum is σ = 105791714. Its totient is φ = 105791712.

The previous prime is 105791711. The next prime is 105791729. The reversal of 105791713 is 317197501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 277729 = 10272^2 + 527^2 .

It is a cyclic number.

It is not a de Polignac number, because 105791713 - 2¹ = 105791711 is a prime.

It is a super-2 number, since 2×105791713² = 22383773078948738, which contains 22 as substring.

Together with 105791711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105791711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52895856 + 52895857.

It is an arithmetic number, because the mean of its divisors is an integer number (52895857).

Almost surely, 2^105791713 is an apocalyptic number.

It is an amenable number.

105791713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105791713 is an equidigital number, since it uses as much as digits as its factorization.

105791713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615, while the sum is 34.

The square root of 105791713 is about 10285.5098561034. The cubic root of 105791713 is about 472.9521634849.

The spelling of 105791713 in words is "one hundred five million, seven hundred ninety-one thousand, seven hundred thirteen".