105113167 has 2 divisors, whose sum is σ = 105113168. Its totient is φ = 105113166.

The previous prime is 105113117. The next prime is 105113171. The reversal of 105113167 is 761311501.

It is a strong prime.

It is an emirp because it is prime and its reverse (761311501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105113167 - 2⁷ = 105113039 is a prime.

It is a super-2 number, since 2×105113167² = 22097555753539778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105113117) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556583 + 52556584.

It is an arithmetic number, because the mean of its divisors is an integer number (52556584).

Almost surely, 2^105113167 is an apocalyptic number.

105113167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113167 is an equidigital number, since it uses as much as digits as its factorization.

105113167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105113167 is about 10252.4712630663. The cubic root of 105113167 is about 471.9388252015.

Adding to 105113167 its reverse (761311501), we get a palindrome (866424668).

The spelling of 105113167 in words is "one hundred five million, one hundred thirteen thousand, one hundred sixty-seven".