105630605813 has 2 divisors, whose sum is σ = 105630605814. Its totient is φ = 105630605812.

The previous prime is 105630605737. The next prime is 105630605819. The reversal of 105630605813 is 318506036501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74669388049 + 30961217764 = 273257^2 + 175958^2 .

It is a cyclic number.

It is not a de Polignac number, because 105630605813 - 2⁸ = 105630605557 is a prime.

It is a super-2 number, since 2×105630605813² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105630605819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52815302906 + 52815302907.

It is an arithmetic number, because the mean of its divisors is an integer number (52815302907).

Almost surely, 2^105630605813 is an apocalyptic number.

It is an amenable number.

105630605813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105630605813 is an equidigital number, since it uses as much as digits as its factorization.

105630605813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 105630605813 in words is "one hundred five billion, six hundred thirty million, six hundred five thousand, eight hundred thirteen".