105322321 has 6 divisors (see below), whose sum is σ = 114047430. Its totient is φ = 97220448.

The previous prime is 105322303. The next prime is 105322331. The reversal of 105322321 is 123223501.

It can be written as a sum of positive squares in 3 ways, for example, as 3534400 + 101787921 = 1880^2 + 10089^2 .

It is not a de Polignac number, because 105322321 - 2⁷ = 105322193 is a prime.

It is a super-2 number, since 2×105322321² = 22185582601654082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105322331) 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 5 ways as a sum of consecutive naturals, for example, 311436 + ... + 311773.

It is an arithmetic number, because the mean of its divisors is an integer number (19007905).

Almost surely, 2^105322321 is an apocalyptic number.

It is an amenable number.

105322321 is a deficient number, since it is larger than the sum of its proper divisors (8725109).

105322321 is an equidigital number, since it uses as much as digits as its factorization.

105322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623235 (or 623222 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105322321 is about 10262.6663689316. Note that the first 3 decimals coincide. The cubic root of 105322321 is about 472.2516388370.

Adding to 105322321 its reverse (123223501), we get a palindrome (228545822).

The spelling of 105322321 in words is "one hundred five million, three hundred twenty-two thousand, three hundred twenty-one".