105167 has 2 divisors, whose sum is σ = 105168. Its totient is φ = 105166.

The previous prime is 105143. The next prime is 105173. The reversal of 105167 is 761501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105167 - 2⁸ = 104911 is a prime.

It is a super-2 number, since 2×105167² = 22120195778, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105167.

It is not a weakly prime, because it can be changed into another prime (105107) 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, 52583 + 52584.

It is an arithmetic number, because the mean of its divisors is an integer number (52584).

2¹⁰⁵¹⁶⁷ is an apocalyptic number.

105167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105167 is an equidigital number, since it uses as much as digits as its factorization.

105167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105167 is about 324.2946191351. The cubic root of 105167 is about 47.2019378214.

Adding to 105167 its reverse (761501), we get a palindrome (866668).

It can be divided in two parts, 105 and 167, that added together give a palindrome (272).

The spelling of 105167 in words is "one hundred five thousand, one hundred sixty-seven".