105329 has 8 divisors (see below), whose sum is σ = 123648. Its totient is φ = 87840.

The previous prime is 105323. The next prime is 105331. The reversal of 105329 is 923501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105329 is a prime.

It is a super-2 number, since 2×105329² = 22188396482, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105329.

It is not an unprimeable number, because it can be changed into a prime (105323) 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, 104 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (15456).

2¹⁰⁵³²⁹ is an apocalyptic number.

It is an amenable number.

105329 is a deficient number, since it is larger than the sum of its proper divisors (18319).

105329 is an equidigital number, since it uses as much as digits as its factorization.

105329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 105329 is about 324.5442958981. The cubic root of 105329 is about 47.2261621216.

It can be divided in two parts, 105 and 329, that added together give a palindrome (434).

The spelling of 105329 in words is "one hundred five thousand, three hundred twenty-nine".