10005296 has 40 divisors (see below), whose sum is σ = 22334880. Its totient is φ = 4253184.

The previous prime is 10005293. The next prime is 10005323. The reversal of 10005296 is 69250001.

It is not an unprimeable number, because it can be changed into a prime (10005293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17300 + ... + 17868.

It is an arithmetic number, because the mean of its divisors is an integer number (558372).

Almost surely, 2^10005296 is an apocalyptic number.

10005296 is a gapful number since it is divisible by the number (16) 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 10005296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167440).

10005296 is an abundant number, since it is smaller than the sum of its proper divisors (12329584).

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

10005296 is a wasteful number, since it uses less digits than its factorization.

10005296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10005296 is about 3163.1149204542. The cubic root of 10005296 is about 215.4814952448.

Adding to 10005296 its reverse (69250001), we get a palindrome (79255297).

It can be divided in two parts, 10005 and 296, that added together give a palindrome (10301).

The spelling of 10005296 in words is "ten million, five thousand, two hundred ninety-six".