105707253163 has 2 divisors, whose sum is σ = 105707253164. Its totient is φ = 105707253162.

The previous prime is 105707253161. The next prime is 105707253191. The reversal of 105707253163 is 361352707501.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (361352707501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105707253163 - 2¹ = 105707253161 is a prime.

It is a super-2 number, since 2×105707253163² (a number of 23 digits) contains 22 as substring.

Together with 105707253161, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105707253161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52853626581 + 52853626582.

It is an arithmetic number, because the mean of its divisors is an integer number (52853626582).

Almost surely, 2^105707253163 is an apocalyptic number.

105707253163 is a deficient number, since it is larger than the sum of its proper divisors (1).

105707253163 is an equidigital number, since it uses as much as digits as its factorization.

105707253163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 132300, while the sum is 40.

The spelling of 105707253163 in words is "one hundred five billion, seven hundred seven million, two hundred fifty-three thousand, one hundred sixty-three".