105221167 has 2 divisors, whose sum is σ = 105221168. Its totient is φ = 105221166.

The previous prime is 105221153. The next prime is 105221191. The reversal of 105221167 is 761122501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105221167 - 2¹⁵ = 105188399 is a prime.

It is a super-2 number, since 2×105221167² = 22142987969683778, which contains 22 as substring.

It is equal to p_6044722 and since 105221167 and 6044722 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52610583 + 52610584.

It is an arithmetic number, because the mean of its divisors is an integer number (52610584).

Almost surely, 2^105221167 is an apocalyptic number.

105221167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105221167 is an equidigital number, since it uses as much as digits as its factorization.

105221167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105221167 is about 10257.7369336516. The cubic root of 105221167 is about 472.1004032674.

Adding to 105221167 its reverse (761122501), we get a palindrome (866343668).

The spelling of 105221167 in words is "one hundred five million, two hundred twenty-one thousand, one hundred sixty-seven".