10005220 has 48 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 3841920.

The previous prime is 10005217. The next prime is 10005227. The reversal of 10005220 is 2250001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10005197 and 10005206.

It is not an unprimeable number, because it can be changed into a prime (10005227) 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, 71911 + ... + 72049.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^10005220 is an apocalyptic number.

10005220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005220 is an abundant number, since it is smaller than the sum of its proper divisors (11868380).

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

10005220 is a wasteful number, since it uses less digits than its factorization.

10005220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10005220 is about 3163.1029069570. The cubic root of 10005220 is about 215.4809496459.

Adding to 10005220 its reverse (2250001), we get a palindrome (12255221).

The spelling of 10005220 in words is "ten million, five thousand, two hundred twenty".