105711313 has 2 divisors, whose sum is σ = 105711314. Its totient is φ = 105711312.

The previous prime is 105711299. The next prime is 105711317. The reversal of 105711313 is 313117501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67617729 + 38093584 = 8223^2 + 6172^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105711313 is a prime.

It is a super-2 number, since 2×105711313² = 22349763392367938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105711317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52855656 + 52855657.

It is an arithmetic number, because the mean of its divisors is an integer number (52855657).

Almost surely, 2^105711313 is an apocalyptic number.

It is an amenable number.

105711313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105711313 is an equidigital number, since it uses as much as digits as its factorization.

105711313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 105711313 is about 10281.6007022253. The cubic root of 105711313 is about 472.8323211084.

Adding to 105711313 its reverse (313117501), we get a palindrome (418828814).

The spelling of 105711313 in words is "one hundred five million, seven hundred eleven thousand, three hundred thirteen".