10005245264 has 80 divisors (see below), whose sum is σ = 23432071680. Its totient is φ = 4042846080.

The previous prime is 10005245233. The next prime is 10005245267. The reversal of 10005245264 is 46254250001.

10005245264 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 not an unprimeable number, because it can be changed into a prime (10005245267) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 437867 + ... + 460149.

It is an arithmetic number, because the mean of its divisors is an integer number (292900896).

Almost surely, 2^10005245264 is an apocalyptic number.

10005245264 is a gapful number since it is divisible by the number (14) 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 10005245264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11716035840).

10005245264 is an abundant number, since it is smaller than the sum of its proper divisors (13426826416).

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

10005245264 is a wasteful number, since it uses less digits than its factorization.

10005245264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22528 (or 22522 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 10005245264 its reverse (46254250001), we get a palindrome (56259495265).

The spelling of 10005245264 in words is "ten billion, five million, two hundred forty-five thousand, two hundred sixty-four".