105330321 has 16 divisors (see below), whose sum is σ = 156611520. Its totient is φ = 69965280.

The previous prime is 105330311. The next prime is 105330341. The reversal of 105330321 is 123033501.

105330321 is a `hidden beast` number, since 10 + 5 + 330 + 321 = 666.

It is not a de Polignac number, because 105330321 - 2⁵ = 105330289 is a prime.

It is a super-2 number, since 2×105330321² = 22188953043926082, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105330294 and 105330303.

It is not an unprimeable number, because it can be changed into a prime (105330301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646 + ... + 14528.

It is an arithmetic number, because the mean of its divisors is an integer number (9788220).

Almost surely, 2^105330321 is an apocalyptic number.

It is an amenable number.

105330321 is a deficient number, since it is larger than the sum of its proper divisors (51281199).

105330321 is a wasteful number, since it uses less digits than its factorization.

105330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14173 (or 14167 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105330321 is about 10263.0561237869. The cubic root of 105330321 is about 472.2635955220.

Adding to 105330321 its reverse (123033501), we get a palindrome (228363822).

The spelling of 105330321 in words is "one hundred five million, three hundred thirty thousand, three hundred twenty-one".