1005051005106 has 32 divisors (see below), whose sum is σ = 2013418598400. Its totient is φ = 334464374160.

The previous prime is 1005051005093. The next prime is 1005051005111. The reversal of 1005051005106 is 6015001505001.

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 15 ways as a sum of consecutive naturals, for example, 45345255 + ... + 45367413.

It is an arithmetic number, because the mean of its divisors is an integer number (62919331200).

Almost surely, 2^{1005051005106} is an apocalyptic number.

1005051005106 is an abundant number, since it is smaller than the sum of its proper divisors (1008367593294).

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

1005051005106 is a wasteful number, since it uses less digits than its factorization.

1005051005106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34294.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1005051005106 in words is "one trillion, five billion, fifty-one million, five thousand, one hundred six".