105222321 has 10 divisors (see below), whose sum is σ = 157184082. Its totient is φ = 70148160.

The previous prime is 105222319. The next prime is 105222343. The reversal of 105222321 is 123222501.

It can be written as a sum of positive squares in only one way, i.e., 104346225 + 876096 = 10215^2 + 936^2 .

It is not a de Polignac number, because 105222321 - 2¹ = 105222319 is a prime.

It is a super-2 number, since 2×105222321² = 22143473673254082, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105222294 and 105222303.

It is not an unprimeable number, because it can be changed into a prime (105222301) 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 9 ways as a sum of consecutive naturals, for example, 649440 + ... + 649601.

Almost surely, 2^105222321 is an apocalyptic number.

It is an amenable number.

105222321 is a deficient number, since it is larger than the sum of its proper divisors (51961761).

105222321 is an equidigital number, since it uses as much as digits as its factorization.

105222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299053 (or 1299044 counting only the distinct ones).

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

The square root of 105222321 is about 10257.7931837213. The cubic root of 105222321 is about 472.1021291618.

Adding to 105222321 its reverse (123222501), we get a palindrome (228444822).

The spelling of 105222321 in words is "one hundred five million, two hundred twenty-two thousand, three hundred twenty-one".