10220 has 24 divisors (see below), whose sum is σ = 24864. Its totient is φ = 3456.

The previous prime is 10211. The next prime is 10223. The reversal of 10220 is 2201.

10220 = T₃₁ + T₃₂ + ... + T₄₄.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an Ulam number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10223) by changing a digit.

10220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1036).

2¹⁰²²⁰ is an apocalyptic number.

10220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432).

10220 is an abundant number, since it is smaller than the sum of its proper divisors (14644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10220 is a wasteful number, since it uses less digits than its factorization.

10220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10220 is about 101.0940156488. The cubic root of 10220 is about 21.7011941268.

Adding to 10220 its reverse (2201), we get a palindrome (12421).

The spelling of 10220 in words is "ten thousand, two hundred twenty", and thus it is an iban number.