10010505006 has 48 divisors (see below), whose sum is σ = 22216015536. Its totient is φ = 3255977088.

The previous prime is 10010504969. The next prime is 10010505031. The reversal of 10010505006 is 60050501001.

10010505006 is a `hidden beast` number, since 100 + 10 + 50 + 500 + 6 = 666.

10010505006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10010505006.

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 23 ways as a sum of consecutive naturals, for example, 840066 + ... + 851898.

It is an arithmetic number, because the mean of its divisors is an integer number (462833657).

Almost surely, 2^10010505006 is an apocalyptic number.

10010505006 is an abundant number, since it is smaller than the sum of its proper divisors (12205510530).

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

10010505006 is a wasteful number, since it uses less digits than its factorization.

10010505006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12977 (or 12974 counting only the distinct ones).

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

The spelling of 10010505006 in words is "ten billion, ten million, five hundred five thousand, six".