105204321 has 24 divisors (see below), whose sum is σ = 156686400. Its totient is φ = 67989600.

The previous prime is 105204301. The next prime is 105204329. The reversal of 105204321 is 123402501.

It is not a de Polignac number, because 105204321 - 2⁵ = 105204289 is a prime.

It is a super-2 number, since 2×105204321² = 22135898314142082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105204294 and 105204303.

It is not an unprimeable number, because it can be changed into a prime (105204329) 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 23 ways as a sum of consecutive naturals, for example, 37630 + ... + 40328.

It is an arithmetic number, because the mean of its divisors is an integer number (6528600).

Almost surely, 2^105204321 is an apocalyptic number.

It is an amenable number.

105204321 is a deficient number, since it is larger than the sum of its proper divisors (51482079).

105204321 is a wasteful number, since it uses less digits than its factorization.

105204321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105204321 is about 10256.9157644976. The cubic root of 105204321 is about 472.0752073615.

Adding to 105204321 its reverse (123402501), we get a palindrome (228606822).

It can be divided in two parts, 10520 and 4321, that added together give a palindrome (14841).

The spelling of 105204321 in words is "one hundred five million, two hundred four thousand, three hundred twenty-one".