105333321 has 16 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 66427920.

The previous prime is 105333311. The next prime is 105333323. The reversal of 105333321 is 123333501.

It is not a de Polignac number, because 105333321 - 2⁹ = 105332809 is a prime.

It is a super-2 number, since 2×105333321² = 22190217025778082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105333323) 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 15 ways as a sum of consecutive naturals, for example, 68956 + ... + 70466.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^105333321 is an apocalyptic number.

It is an amenable number.

105333321 is a deficient number, since it is larger than the sum of its proper divisors (42721719).

105333321 is a wasteful number, since it uses less digits than its factorization.

105333321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 105333321 is about 10263.2022780417. The cubic root of 105333321 is about 472.2680791228.

Adding to 105333321 its reverse (123333501), we get a palindrome (228666822).

The spelling of 105333321 in words is "one hundred five million, three hundred thirty-three thousand, three hundred twenty-one".