10005824 has 28 divisors (see below), whose sum is σ = 20116800. Its totient is φ = 4937088.

The previous prime is 10005823. The next prime is 10005829. The reversal of 10005824 is 42850001.

It is a junction number, because it is equal to n+sod(n) for n = 10005796 and 10005805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4067 + ... + 6045.

Almost surely, 2^10005824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058400).

10005824 is an abundant number, since it is smaller than the sum of its proper divisors (10110976).

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

10005824 is an equidigital number, since it uses as much as digits as its factorization.

10005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10005824 is about 3163.1983813855. The cubic root of 10005824 is about 215.4852856450.

Adding to 10005824 its reverse (42850001), we get a palindrome (52855825).

The spelling of 10005824 in words is "ten million, five thousand, eight hundred twenty-four".