105329163 has 8 divisors (see below), whose sum is σ = 141829776. Its totient is φ = 69524000.

The previous prime is 105329117. The next prime is 105329173. The reversal of 105329163 is 361923501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105329163 - 2¹⁸ = 105067019 is a prime.

It is a super-2 number, since 2×105329163² = 22188465156561138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105329163.

It is not an unprimeable number, because it can be changed into a prime (105329113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173508 + ... + 174113.

It is an arithmetic number, because the mean of its divisors is an integer number (17728722).

Almost surely, 2^105329163 is an apocalyptic number.

105329163 is a deficient number, since it is larger than the sum of its proper divisors (36500613).

105329163 is a wasteful number, since it uses less digits than its factorization.

105329163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347725.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 105329163 is about 10262.9997076878. Note that the first 3 decimals coincide. The cubic root of 105329163 is about 472.2618648293.

The spelling of 105329163 in words is "one hundred five million, three hundred twenty-nine thousand, one hundred sixty-three".