1006105561006 has 64 divisors (see below), whose sum is σ = 1898141736960. Its totient is φ = 389305595520.

The previous prime is 1006105560991. The next prime is 1006105561051. The reversal of 1006105561006 is 6001655016001.

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 31 ways as a sum of consecutive naturals, for example, 13829755 + ... + 13902313.

It is an arithmetic number, because the mean of its divisors is an integer number (29658464640).

Almost surely, 2^{1006105561006} is an apocalyptic number.

1006105561006 is a deficient number, since it is larger than the sum of its proper divisors (892036175954).

1006105561006 is a wasteful number, since it uses less digits than its factorization.

1006105561006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74249.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 1006105561006 in words is "one trillion, six billion, one hundred five million, five hundred sixty-one thousand, six".