105005167 has 2 divisors, whose sum is σ = 105005168. Its totient is φ = 105005166.

The previous prime is 105005129. The next prime is 105005177. The reversal of 105005167 is 761500501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105005167 is a prime.

It is a super-2 number, since 2×105005167² = 22052170193395778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105005177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502583 + 52502584.

It is an arithmetic number, because the mean of its divisors is an integer number (52502584).

Almost surely, 2^105005167 is an apocalyptic number.

105005167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005167 is an equidigital number, since it uses as much as digits as its factorization.

105005167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105005167 is about 10247.2028866418. The cubic root of 105005167 is about 471.7771364205. Note that the first 3 decimals are identical.

Adding to 105005167 its reverse (761500501), we get a palindrome (866505668).

The spelling of 105005167 in words is "one hundred five million, five thousand, one hundred sixty-seven".