105189163 has 2 divisors, whose sum is σ = 105189164. Its totient is φ = 105189162.

The previous prime is 105189109. The next prime is 105189181. The reversal of 105189163 is 361981501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105189163 - 2⁹ = 105188651 is a prime.

It is a super-2 number, since 2×105189163² = 22129520025281138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105189103) 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, 52594581 + 52594582.

It is an arithmetic number, because the mean of its divisors is an integer number (52594582).

Almost surely, 2^105189163 is an apocalyptic number.

105189163 is a deficient number, since it is larger than the sum of its proper divisors (1).

105189163 is an equidigital number, since it uses as much as digits as its factorization.

105189163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 105189163 is about 10256.1768217987. The cubic root of 105189163 is about 472.0525338324.

The spelling of 105189163 in words is "one hundred five million, one hundred eighty-nine thousand, one hundred sixty-three".