10005320 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3628800.

The previous prime is 10005293. The next prime is 10005323. The reversal of 10005320 is 2350001.

It is not an unprimeable number, because it can be changed into a prime (10005323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36785 + ... + 37055.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^10005320 is an apocalyptic number.

10005320 is a gapful number since it is divisible by the number (10) 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 10005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10005320 is an abundant number, since it is smaller than the sum of its proper divisors (14670520).

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

10005320 is a wasteful number, since it uses less digits than its factorization.

10005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 10005320 is about 3163.1187141807. The cubic root of 10005320 is about 215.4816675386.

Adding to 10005320 its reverse (2350001), we get a palindrome (12355321).

The spelling of 10005320 in words is "ten million, five thousand, three hundred twenty".