10005244420 has 48 divisors (see below), whose sum is σ = 21791863296. Its totient is φ = 3854592000.

The previous prime is 10005244411. The next prime is 10005244423. The reversal of 10005244420 is 2444250001.

It is a happy number.

It is a super-2 number, since 2×10005244420² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005244391 and 10005244400.

It is not an unprimeable number, because it can be changed into a prime (10005244423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92580 + ... + 169060.

It is an arithmetic number, because the mean of its divisors is an integer number (453997152).

Almost surely, 2^10005244420 is an apocalyptic number.

10005244420 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 10005244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10895931648).

10005244420 is an abundant number, since it is smaller than the sum of its proper divisors (11786618876).

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

10005244420 is a wasteful number, since it uses less digits than its factorization.

10005244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76732 (or 76730 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10005244420 its reverse (2444250001), we get a palindrome (12449494421).

The spelling of 10005244420 in words is "ten billion, five million, two hundred forty-four thousand, four hundred twenty".