105330 has 16 divisors (see below), whose sum is σ = 252864. Its totient is φ = 28080.

The previous prime is 105323. The next prime is 105331. The reversal of 105330 is 33501.

It is a happy number.

It is a super-2 number, since 2×105330² = 22188817800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105331) by changing a digit.

105330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726 + ... + 1785.

It is an arithmetic number, because the mean of its divisors is an integer number (15804).

2¹⁰⁵³³⁰ is an apocalyptic number.

105330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105330 is an abundant number, since it is smaller than the sum of its proper divisors (147534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105330 is a wasteful number, since it uses less digits than its factorization.

105330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521.

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

The square root of 105330 is about 324.5458365162. The cubic root of 105330 is about 47.2263115772.

Adding to 105330 its reverse (33501), we get a palindrome (138831).

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

The spelling of 105330 in words is "one hundred five thousand, three hundred thirty".