10006875 has 40 divisors (see below), whose sum is σ = 18556560. Its totient is φ = 5328000.

The previous prime is 10006873. The next prime is 10006883. The reversal of 10006875 is 57860001.

10006875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006875 - 2¹ = 10006873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10006873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16579 + ... + 17171.

It is an arithmetic number, because the mean of its divisors is an integer number (463914).

Almost surely, 2^10006875 is an apocalyptic number.

10006875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10006875 is a deficient number, since it is larger than the sum of its proper divisors (8549685).

10006875 is an frugal number, since it uses more digits than its factorization.

10006875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10006875 is about 3163.3645063445. The cubic root of 10006875 is about 215.4928301546.

Adding to 10006875 its reverse (57860001), we get a palindrome (67866876).

It can be divided in two parts, 1000 and 6875, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 10006875 in words is "ten million, six thousand, eight hundred seventy-five".