105692813 has 2 divisors, whose sum is σ = 105692814. Its totient is φ = 105692812.

The previous prime is 105692749. The next prime is 105692819. The reversal of 105692813 is 318296501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86174089 + 19518724 = 9283^2 + 4418^2 .

It is an emirp because it is prime and its reverse (318296501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105692813 - 2⁶ = 105692749 is a prime.

It is a super-2 number, since 2×105692813² = 22341941439705938, 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 (105692819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52846406 + 52846407.

It is an arithmetic number, because the mean of its divisors is an integer number (52846407).

Almost surely, 2^105692813 is an apocalyptic number.

It is an amenable number.

105692813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105692813 is an equidigital number, since it uses as much as digits as its factorization.

105692813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105692813 is about 10280.7009975001. The cubic root of 105692813 is about 472.8047368382.

The spelling of 105692813 in words is "one hundred five million, six hundred ninety-two thousand, eight hundred thirteen".