105290163 has 48 divisors (see below), whose sum is σ = 178285536. Its totient is φ = 59166720.

The previous prime is 105290131. The next prime is 105290189. The reversal of 105290163 is 361092501.

It is not a de Polignac number, because 105290163 - 2⁵ = 105290131 is a prime.

It is a super-2 number, since 2×105290163² = 22172036849133138, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105290063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122431 + ... + 123287.

It is an arithmetic number, because the mean of its divisors is an integer number (3714282).

Almost surely, 2^105290163 is an apocalyptic number.

105290163 is a deficient number, since it is larger than the sum of its proper divisors (72995373).

105290163 is a wasteful number, since it uses less digits than its factorization.

105290163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105290163 is about 10261.0995024900. The cubic root of 105290163 is about 472.2035698428.

The spelling of 105290163 in words is "one hundred five million, two hundred ninety thousand, one hundred sixty-three".