105165270167 has 2 divisors, whose sum is σ = 105165270168. Its totient is φ = 105165270166.

The previous prime is 105165270131. The next prime is 105165270169. The reversal of 105165270167 is 761072561501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105165270167 - 2¹² = 105165266071 is a prime.

It is a super-2 number, since 2×105165270167² (a number of 23 digits) contains 22 as substring.

Together with 105165270169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105165270169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582635083 + 52582635084.

It is an arithmetic number, because the mean of its divisors is an integer number (52582635084).

Almost surely, 2^105165270167 is an apocalyptic number.

105165270167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165270167 is an equidigital number, since it uses as much as digits as its factorization.

105165270167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 88200, while the sum is 41.

The spelling of 105165270167 in words is "one hundred five billion, one hundred sixty-five million, two hundred seventy thousand, one hundred sixty-seven".