105608813 has 2 divisors, whose sum is σ = 105608814. Its totient is φ = 105608812.

The previous prime is 105608809. The next prime is 105608819. The reversal of 105608813 is 318806501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96864964 + 8743849 = 9842^2 + 2957^2 .

It is a cyclic number.

It is not a de Polignac number, because 105608813 - 2² = 105608809 is a prime.

It is a super-2 number, since 2×105608813² = 22306442766537938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105608813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105608819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52804406 + 52804407.

It is an arithmetic number, because the mean of its divisors is an integer number (52804407).

Almost surely, 2^105608813 is an apocalyptic number.

It is an amenable number.

105608813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105608813 is an equidigital number, since it uses as much as digits as its factorization.

105608813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 105608813 is about 10276.6148609355. The cubic root of 105608813 is about 472.6794488367.

The spelling of 105608813 in words is "one hundred five million, six hundred eight thousand, eight hundred thirteen".