1001050105005 has 32 divisors (see below), whose sum is σ = 1793229736320. Its totient is φ = 529817857920.

The previous prime is 1001050104919. The next prime is 1001050105019. The reversal of 1001050105005 is 5005010501001.

1001050105005 is a `hidden beast` number, since 100 + 1 + 0 + 50 + 10 + 500 + 5 = 666.

1001050105005 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001050105005 - 2⁸ = 1001050104749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28284552 + ... + 28319921.

It is an arithmetic number, because the mean of its divisors is an integer number (56038429260).

Almost surely, 2^{1001050105005} is an apocalyptic number.

1001050105005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001050105005 is a deficient number, since it is larger than the sum of its proper divisors (792179631315).

1001050105005 is a wasteful number, since it uses less digits than its factorization.

1001050105005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56604618 (or 56604612 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 1001050105005 its reverse (5005010501001), we get a palindrome (6006060606006).

The spelling of 1001050105005 in words is "one trillion, one billion, fifty million, one hundred five thousand, five".