105716813 has 2 divisors, whose sum is σ = 105716814. Its totient is φ = 105716812.

The previous prime is 105716797. The next prime is 105716837. The reversal of 105716813 is 318617501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80335369 + 25381444 = 8963^2 + 5038^2 .

It is an emirp because it is prime and its reverse (318617501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105716813 - 2⁴ = 105716797 is a prime.

It is a super-3 number, since 3×105716813³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105716813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105716873) 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, 52858406 + 52858407.

It is an arithmetic number, because the mean of its divisors is an integer number (52858407).

Almost surely, 2^105716813 is an apocalyptic number.

It is an amenable number.

105716813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105716813 is an equidigital number, since it uses as much as digits as its factorization.

105716813 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 32.

The square root of 105716813 is about 10281.8681668265. The cubic root of 105716813 is about 472.8405212168.

The spelling of 105716813 in words is "one hundred five million, seven hundred sixteen thousand, eight hundred thirteen".