1006011105605 has 16 divisors (see below), whose sum is σ = 1317018507264. Its totient is φ = 731611932480.

The previous prime is 1006011105599. The next prime is 1006011105707. The reversal of 1006011105605 is 5065011106001.

It is not a de Polignac number, because 1006011105605 - 2¹⁴ = 1006011089221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879419 + ... + 1668951.

It is an arithmetic number, because the mean of its divisors is an integer number (82313656704).

Almost surely, 2^{1006011105605} is an apocalyptic number.

It is an amenable number.

1006011105605 is a deficient number, since it is larger than the sum of its proper divisors (311007401659).

1006011105605 is a wasteful number, since it uses less digits than its factorization.

1006011105605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812716.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 1006011105605 in words is "one trillion, six billion, eleven million, one hundred five thousand, six hundred five".