10006575 has 24 divisors (see below), whose sum is σ = 16720656. Its totient is φ = 5280000.

The previous prime is 10006567. The next prime is 10006603. The reversal of 10006575 is 57560001.

10006575 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006575 - 2³ = 10006567 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 6915 + ... + 8235.

It is an arithmetic number, because the mean of its divisors is an integer number (696694).

Almost surely, 2^10006575 is an apocalyptic number.

10006575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10006575 is a deficient number, since it is larger than the sum of its proper divisors (6714081).

10006575 is a wasteful number, since it uses less digits than its factorization.

10006575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 10006575 is about 3163.3170881213. The cubic root of 10006575 is about 215.4906766853.

Adding to 10006575 its reverse (57560001), we get a palindrome (67566576).

The spelling of 10006575 in words is "ten million, six thousand, five hundred seventy-five".