1001006105055 has 32 divisors (see below), whose sum is σ = 1839169117440. Its totient is φ = 459792276480.

The previous prime is 1001006104963. The next prime is 1001006105059. The reversal of 1001006105055 is 5505016001001.

It is not a de Polignac number, because 1001006105055 - 2¹⁴ = 1001006088671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001006105059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159646962 + ... + 159653231.

It is an arithmetic number, because the mean of its divisors is an integer number (57474034920).

Almost surely, 2^{1001006105055} is an apocalyptic number.

1001006105055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1001006105055 is a deficient number, since it is larger than the sum of its proper divisors (838163012385).

1001006105055 is a wasteful number, since it uses less digits than its factorization.

1001006105055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319300231.

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

The spelling of 1001006105055 in words is "one trillion, one billion, six million, one hundred five thousand, fifty-five".