10055221 has 6 divisors (see below), whose sum is σ = 11052566. Its totient is φ = 9141000.

The previous prime is 10055219. The next prime is 10055263. The reversal of 10055221 is 12255001.

It can be written as a sum of positive squares in only one way, i.e., 8820900 + 1234321 = 2970^2 + 1111^2 .

It is not a de Polignac number, because 10055221 - 2¹ = 10055219 is a prime.

It is a super-2 number, since 2×10055221² = 202214938717682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10055195 and 10055204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055281) 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, 41430 + ... + 41671.

Almost surely, 2^10055221 is an apocalyptic number.

10055221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10055221 is a deficient number, since it is larger than the sum of its proper divisors (997345).

10055221 is an equidigital number, since it uses as much as digits as its factorization.

10055221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83123 (or 83112 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 10055221 is about 3170.9968464191. The cubic root of 10055221 is about 215.8393080673.

It can be divided in two parts, 1005 and 5221, that added together give a palindrome (6226).

The spelling of 10055221 in words is "ten million, fifty-five thousand, two hundred twenty-one".