1006055105105 has 32 divisors (see below), whose sum is σ = 1293478502400. Its totient is φ = 748505843712.

The previous prime is 1006055105089. The next prime is 1006055105117. The reversal of 1006055105105 is 5015015506001.

It is a happy number.

1006055105105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1006055105105 - 2⁴ = 1006055105089 is a prime.

It is a super-2 number, since 2×1006055105105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11903024 + ... + 11987246.

It is an arithmetic number, because the mean of its divisors is an integer number (40421203200).

Almost surely, 2^{1006055105105} is an apocalyptic number.

It is an amenable number.

1006055105105 is a deficient number, since it is larger than the sum of its proper divisors (287423397295).

1006055105105 is a wasteful number, since it uses less digits than its factorization.

1006055105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85913.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 1006055105105 in words is "one trillion, six billion, fifty-five million, one hundred five thousand, one hundred five".