10003824 has 120 divisors (see below), whose sum is σ = 30331392. Its totient is φ = 3188160.

The previous prime is 10003787. The next prime is 10003831. The reversal of 10003824 is 42830001.

10003824 = 553² + 554² + ... + 583².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10003797 and 10003806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120487 + ... + 120569.

Almost surely, 2^10003824 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 10003824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165696).

10003824 is an abundant number, since it is smaller than the sum of its proper divisors (20327568).

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

10003824 is an equidigital number, since it uses as much as digits as its factorization.

10003824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10003824 is about 3162.8822298657. The cubic root of 10003824 is about 215.4709273643.

Adding to 10003824 its reverse (42830001), we get a palindrome (52833825).

The spelling of 10003824 in words is "ten million, three thousand, eight hundred twenty-four".