10006065 has 64 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 4888512.

The previous prime is 10006063. The next prime is 10006067. The reversal of 10006065 is 56060001.

It is an interprime number because it is at equal distance from previous prime (10006063) and next prime (10006067).

It is not a de Polignac number, because 10006065 - 2¹ = 10006063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006063) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 120514 + ... + 120596.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^10006065 is an apocalyptic number.

10006065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006065 is a deficient number, since it is larger than the sum of its proper divisors (9347535).

10006065 is a wasteful number, since it uses less digits than its factorization.

10006065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10006065 is about 3163.2364755105. The cubic root of 10006065 is about 215.4870156887.

Adding to 10006065 its reverse (56060001), we get a palindrome (66066066).

The spelling of 10006065 in words is "ten million, six thousand, sixty-five".