10001006109 has 24 divisors (see below), whose sum is σ = 15361357752. Its totient is φ = 6248186880.

The previous prime is 10001006077. The next prime is 10001006173. The reversal of 10001006109 is 90160010001.

10001006109 is digitally balanced in base 2, 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 6084 + 10001000025 = 78^2 + 100005^2 .

It is not a de Polignac number, because 10001006109 - 2⁵ = 10001006077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001006091 and 10001006100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001006209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104622 + ... + 175919.

It is an arithmetic number, because the mean of its divisors is an integer number (640056573).

Almost surely, 2^10001006109 is an apocalyptic number.

It is an amenable number.

10001006109 is a deficient number, since it is larger than the sum of its proper divisors (5360351643).

10001006109 is a wasteful number, since it uses less digits than its factorization.

10001006109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280797 (or 280794 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 10001006109 in words is "ten billion, one million, six thousand, one hundred nine".