10005352 has 32 divisors (see below), whose sum is σ = 21542400. Its totient is φ = 4267584.

The previous prime is 10005349. The next prime is 10005361. The reversal of 10005352 is 25350001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20649 + ... + 21127.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^10005352 is an apocalyptic number.

It is an amenable number.

10005352 is an abundant number, since it is smaller than the sum of its proper divisors (11537048).

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

10005352 is a wasteful number, since it uses less digits than its factorization.

10005352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 10005352 is about 3163.1237724756. The cubic root of 10005352 is about 215.4818972633.

Adding to 10005352 its reverse (25350001), we get a palindrome (35355353).

The spelling of 10005352 in words is "ten million, five thousand, three hundred fifty-two".