10005024 has 48 divisors (see below), whose sum is σ = 26580960. Its totient is φ = 3294720.

The previous prime is 10005019. The next prime is 10005041. The reversal of 10005024 is 42050001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7959 + ... + 9129.

It is an arithmetic number, because the mean of its divisors is an integer number (553770).

Almost surely, 2^10005024 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 10005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13290480).

10005024 is an abundant number, since it is smaller than the sum of its proper divisors (16575936).

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

10005024 is a wasteful number, since it uses less digits than its factorization.

10005024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10005024 is about 3163.0719245695. The cubic root of 10005024 is about 215.4795425624.

Adding to 10005024 its reverse (42050001), we get a palindrome (52055025).

The spelling of 10005024 in words is "ten million, five thousand, twenty-four".