103220 has 24 divisors (see below), whose sum is σ = 234024. Its totient is φ = 38016.

The previous prime is 103217. The next prime is 103231. The reversal of 103220 is 22301.

103220 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 98596 = 68^2 + 314^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103198 and 103207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103220.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (9751).

2¹⁰³²²⁰ is an apocalyptic number.

103220 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 103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117012).

103220 is an abundant number, since it is smaller than the sum of its proper divisors (130804).

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

103220 is a wasteful number, since it uses less digits than its factorization.

103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103220 is about 321.2786952165. The cubic root of 103220 is about 46.9088318724.

Adding to 103220 its reverse (22301), we get a palindrome (125521).

It can be divided in two parts, 103 and 220, that added together give a palindrome (323).

The spelling of 103220 in words is "one hundred three thousand, two hundred twenty", and thus it is an iban number.