10006105509 has 24 divisors (see below), whose sum is σ = 14975227800. Its totient is φ = 6430556160.

The previous prime is 10006105481. The next prime is 10006105513. The reversal of 10006105509 is 90550160001.

10006105509 is a `hidden beast` number, since 100 + 0 + 6 + 1 + 0 + 550 + 9 = 666.

10006105509 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 5530896900 + 4475208609 = 74370^2 + 66897^2 .

It is not a de Polignac number, because 10006105509 - 2⁸ = 10006105253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006105589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137397 + ... + 197205.

It is an arithmetic number, because the mean of its divisors is an integer number (623967825).

Almost surely, 2^10006105509 is an apocalyptic number.

It is an amenable number.

10006105509 is a deficient number, since it is larger than the sum of its proper divisors (4969122291).

10006105509 is a wasteful number, since it uses less digits than its factorization.

10006105509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60485 (or 60482 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 10006105509 in words is "ten billion, six million, one hundred five thousand, five hundred nine".