105268717 has 2 divisors, whose sum is σ = 105268718. Its totient is φ = 105268716.

The previous prime is 105268703. The next prime is 105268727. The reversal of 105268717 is 717862501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100520676 + 4748041 = 10026^2 + 2179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105268717 is a prime.

It is a super-2 number, since 2×105268717² = 22163005557652178, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105268727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634358 + 52634359.

It is an arithmetic number, because the mean of its divisors is an integer number (52634359).

Almost surely, 2^105268717 is an apocalyptic number.

It is an amenable number.

105268717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268717 is an equidigital number, since it uses as much as digits as its factorization.

105268717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105268717 is about 10260.0544345535. The cubic root of 105268717 is about 472.1715074446.

The spelling of 105268717 in words is "one hundred five million, two hundred sixty-eight thousand, seven hundred seventeen".