10506321 has 16 divisors (see below), whose sum is σ = 17788800. Its totient is φ = 6003504.

The previous prime is 10506317. The next prime is 10506343. The reversal of 10506321 is 12360501.

It is not a de Polignac number, because 10506321 - 2² = 10506317 is a prime.

It is a super-2 number, since 2×10506321² = 220765561910082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506294 and 10506303.

It is not an unprimeable number, because it can be changed into a prime (10506311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27606 + ... + 27983.

It is an arithmetic number, because the mean of its divisors is an integer number (1111800).

Almost surely, 2^10506321 is an apocalyptic number.

It is an amenable number.

10506321 is a deficient number, since it is larger than the sum of its proper divisors (7282479).

10506321 is an equidigital number, since it uses as much as digits as its factorization.

10506321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55605 (or 55599 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10506321 is about 3241.3455539328. The cubic root of 10506321 is about 219.0198893552.

Adding to 10506321 its reverse (12360501), we get a palindrome (22866822).

The spelling of 10506321 in words is "ten million, five hundred six thousand, three hundred twenty-one".