10005344020 has 96 divisors (see below), whose sum is σ = 24580620288. Its totient is φ = 3349633152.

The previous prime is 10005344009. The next prime is 10005344047. The reversal of 10005344020 is 2044350001.

10005344020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3308229 + ... + 3311251.

It is an arithmetic number, because the mean of its divisors is an integer number (256048128).

Almost surely, 2^10005344020 is an apocalyptic number.

10005344020 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 10005344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290310144).

10005344020 is an abundant number, since it is smaller than the sum of its proper divisors (14575276268).

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

10005344020 is a wasteful number, since it uses less digits than its factorization.

10005344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 10005344020 its reverse (2044350001), we get a palindrome (12049694021).

It can be divided in two parts, 10005 and 344020, that added together give a square (354025 = 595²).

The spelling of 10005344020 in words is "ten billion, five million, three hundred forty-four thousand, twenty".