105305163 has 16 divisors (see below), whose sum is σ = 148636800. Its totient is φ = 66130560.

The previous prime is 105305159. The next prime is 105305197. The reversal of 105305163 is 361503501.

It is not a de Polignac number, because 105305163 - 2² = 105305159 is a prime.

It is a super-2 number, since 2×105305163² = 22178354708913138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305143) 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 in 15 ways as a sum of consecutive naturals, for example, 5043 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (9289800).

Almost surely, 2^105305163 is an apocalyptic number.

105305163 is a deficient number, since it is larger than the sum of its proper divisors (43331637).

105305163 is a wasteful number, since it uses less digits than its factorization.

105305163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 105305163 is about 10261.8303922838. The cubic root of 105305163 is about 472.2259926947.

Adding to 105305163 its reverse (361503501), we get a palindrome (466808664).

The spelling of 105305163 in words is "one hundred five million, three hundred five thousand, one hundred sixty-three".