10005248 has 108 divisors (see below), whose sum is σ = 24466680. Its totient is φ = 4055040.

The previous prime is 10005241. The next prime is 10005251. The reversal of 10005248 is 84250001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526583 + ... + 526601.

Almost surely, 2^10005248 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 10005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233340).

10005248 is an abundant number, since it is smaller than the sum of its proper divisors (14461432).

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

10005248 is a wasteful number, since it uses less digits than its factorization.

10005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 49 counting only the distinct ones).

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

The square root of 10005248 is about 3163.1073329876. The cubic root of 10005248 is about 215.4811506564.

Adding to 10005248 its reverse (84250001), we get a palindrome (94255249).

The spelling of 10005248 in words is "ten million, five thousand, two hundred forty-eight".