105362356817 has 2 divisors, whose sum is σ = 105362356818. Its totient is φ = 105362356816.

The previous prime is 105362356789. The next prime is 105362356837. The reversal of 105362356817 is 718653263501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58581425296 + 46780931521 = 242036^2 + 216289^2 .

It is a cyclic number.

It is not a de Polignac number, because 105362356817 - 2⁶ = 105362356753 is a prime.

It is a super-2 number, since 2×105362356817² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105362356837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52681178408 + 52681178409.

It is an arithmetic number, because the mean of its divisors is an integer number (52681178409).

Almost surely, 2^105362356817 is an apocalyptic number.

It is an amenable number.

105362356817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105362356817 is an equidigital number, since it uses as much as digits as its factorization.

105362356817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 105362356817 in words is "one hundred five billion, three hundred sixty-two million, three hundred fifty-six thousand, eight hundred seventeen".