10205220 has 48 divisors (see below), whose sum is σ = 28949760. Its totient is φ = 2685696.

The previous prime is 10205207. The next prime is 10205227. The reversal of 10205220 is 2250201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10205196 and 10205205.

It is not an unprimeable number, because it can be changed into a prime (10205227) 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 15 ways as a sum of consecutive naturals, for example, 3664 + ... + 5816.

It is an arithmetic number, because the mean of its divisors is an integer number (603120).

Almost surely, 2^10205220 is an apocalyptic number.

10205220 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 10205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474880).

10205220 is an abundant number, since it is smaller than the sum of its proper divisors (18744540).

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

10205220 is a wasteful number, since it uses less digits than its factorization.

10205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10205220 is about 3194.5610027044. The cubic root of 10205220 is about 216.9072777356.

Adding to 10205220 its reverse (2250201), we get a palindrome (12455421).

The spelling of 10205220 in words is "ten million, two hundred five thousand, two hundred twenty".