10005105066055 has 32 divisors (see below), whose sum is σ = 13134474178560. Its totient is φ = 7255953630720.

The previous prime is 10005105066017. The next prime is 10005105066083. The reversal of 10005105066055 is 55066050150001.

It is not a de Polignac number, because 10005105066055 - 2⁴¹ = 7806081810503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10005105066055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385258111 + ... + 385284079.

It is an arithmetic number, because the mean of its divisors is an integer number (410452318080).

Almost surely, 2^{10005105066055} is an apocalyptic number.

10005105066055 is a deficient number, since it is larger than the sum of its proper divisors (3129369112505).

10005105066055 is a wasteful number, since it uses less digits than its factorization.

10005105066055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45439.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 10005105066055 in words is "ten trillion, five billion, one hundred five million, sixty-six thousand, fifty-five".