10075 has 12 divisors (see below), whose sum is σ = 13888. Its totient is φ = 7200.

The previous prime is 10069. The next prime is 10079. The reversal of 10075 is 57001.

It is not a de Polignac number, because 10075 - 2³ = 10067 is a prime.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10079) 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, 310 + ... + 340.

2¹⁰⁰⁷⁵ is an apocalyptic number.

10075 is a deficient number, since it is larger than the sum of its proper divisors (3813).

10075 is a wasteful number, since it uses less digits than its factorization.

10075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 10075 is about 100.3742994994. The cubic root of 10075 is about 21.5980736737.

Adding to 10075 its reverse (57001), we get a palindrome (67076).

The spelling of 10075 in words is "ten thousand, seventy-five".