105708613 has 2 divisors, whose sum is σ = 105708614. Its totient is φ = 105708612.

The previous prime is 105708587. The next prime is 105708623. The reversal of 105708613 is 316807501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101243844 + 4464769 = 10062^2 + 2113^2 .

It is a cyclic number.

It is not a de Polignac number, because 105708613 - 2⁹ = 105708101 is a prime.

It is a super-2 number, since 2×105708613² = 22348621724767538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105708623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52854306 + 52854307.

It is an arithmetic number, because the mean of its divisors is an integer number (52854307).

Almost surely, 2^105708613 is an apocalyptic number.

It is an amenable number.

105708613 is a deficient number, since it is larger than the sum of its proper divisors (1).

105708613 is an equidigital number, since it uses as much as digits as its factorization.

105708613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105708613 is about 10281.4693988749. The cubic root of 105708613 is about 472.8282954966.

The spelling of 105708613 in words is "one hundred five million, seven hundred eight thousand, six hundred thirteen".