105329169 has 27 divisors (see below), whose sum is σ = 167770057. Its totient is φ = 63630600.

The previous prime is 105329117. The next prime is 105329173. The reversal of 105329169 is 961923501.

The square root of 105329169 is 10263.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 105329169 - 2²⁵ = 71774737 is a prime.

It is a super-2 number, since 2×105329169² = 22188467684461122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105329669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338524 + ... + 338834.

Almost surely, 2^105329169 is an apocalyptic number.

105329169 is the 10263-rd square number.

105329169 is the 5132-nd centered octagonal number.

It is an amenable number.

105329169 is a deficient number, since it is larger than the sum of its proper divisors (62440888).

105329169 is an equidigital number, since it uses as much as digits as its factorization.

105329169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The cubic root of 105329169 is about 472.2618737967.

Multiplying 105329169 by its sum of digits (36), we get a square (3791850084 = 61578²).

It can be divided in two parts, 10532 and 9169, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 105329169 in words is "one hundred five million, three hundred twenty-nine thousand, one hundred sixty-nine".