10065010005 has 24 divisors (see below), whose sum is σ = 17600415768. Its totient is φ = 5320498176.

The previous prime is 10065009979. The next prime is 10065010037. The reversal of 10065010005 is 50001056001.

10065010005 is a `hidden beast` number, since 1 + 0 + 0 + 650 + 10 + 0 + 0 + 5 = 666.

10065010005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 745617636 + 9319392369 = 27306^2 + 96537^2 .

It is not a de Polignac number, because 10065010005 - 2¹¹ = 10065007957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10065010005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984592 + ... + 994761.

It is an arithmetic number, because the mean of its divisors is an integer number (733350657).

Almost surely, 2^10065010005 is an apocalyptic number.

10065010005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10065010005 is a deficient number, since it is larger than the sum of its proper divisors (7535405763).

10065010005 is a wasteful number, since it uses less digits than its factorization.

10065010005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979477 (or 1979474 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10065010005 its reverse (50001056001), we get a palindrome (60066066006).

The spelling of 10065010005 in words is "ten billion, sixty-five million, ten thousand, five".