105260813167 has 2 divisors, whose sum is σ = 105260813168. Its totient is φ = 105260813166.

The previous prime is 105260813159. The next prime is 105260813179. The reversal of 105260813167 is 761318062501.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (761318062501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105260813167 - 2³ = 105260813159 is a prime.

It is a super-2 number, since 2×105260813167² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105260813107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52630406583 + 52630406584.

It is an arithmetic number, because the mean of its divisors is an integer number (52630406584).

Almost surely, 2^105260813167 is an apocalyptic number.

105260813167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105260813167 is an equidigital number, since it uses as much as digits as its factorization.

105260813167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

Adding to 105260813167 its reverse (761318062501), we get a palindrome (866578875668).

The spelling of 105260813167 in words is "one hundred five billion, two hundred sixty million, eight hundred thirteen thousand, one hundred sixty-seven".