10005052116 has 12 divisors (see below), whose sum is σ = 23345121632. Its totient is φ = 3335017368.

The previous prime is 10005052087. The next prime is 10005052139. The reversal of 10005052116 is 61125050001.

10005052116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 10005052092 and 10005052101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 416877160 + ... + 416877183.

Almost surely, 2^10005052116 is an apocalyptic number.

It is an amenable number.

10005052116 is an abundant number, since it is smaller than the sum of its proper divisors (13340069516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005052116 is a wasteful number, since it uses less digits than its factorization.

10005052116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833754350 (or 833754348 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 10005052116 in words is "ten billion, five million, fifty-two thousand, one hundred sixteen".