330105 has 16 divisors (see below), whose sum is σ = 538560. Its totient is φ = 172608.

The previous prime is 330103. The next prime is 330131. The reversal of 330105 is 501033.

It is a happy number.

It is not a de Polignac number, because 330105 - 2¹ = 330103 is a prime.

It is a super-2 number, since 2×330105² = 217938622050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (33660).

2³³⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

330105 is a deficient number, since it is larger than the sum of its proper divisors (208455).

330105 is a wasteful number, since it uses less digits than its factorization.

330105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 330105 is about 574.5476481546. The cubic root of 330105 is about 69.1115607597. Note that the first 3 decimals are identical.

Adding to 330105 its reverse (501033), we get a palindrome (831138).

It can be divided in two parts, 330 and 105, that added together give a triangular number (435 = T₂₉).

The spelling of 330105 in words is "three hundred thirty thousand, one hundred five".