1005011111105 has 16 divisors (see below), whose sum is σ = 1207152460800. Its totient is φ = 803249771520.

The previous prime is 1005011111059. The next prime is 1005011111147. The reversal of 1005011111105 is 5011111105001.

It is a de Polignac number, because none of the positive numbers 2^k-1005011111105 is a prime.

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, 31529666 + ... + 31561524.

It is an arithmetic number, because the mean of its divisors is an integer number (75447028800).

Almost surely, 2^{1005011111105} is an apocalyptic number.

It is an amenable number.

1005011111105 is a deficient number, since it is larger than the sum of its proper divisors (202141349695).

1005011111105 is a wasteful number, since it uses less digits than its factorization.

1005011111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37624.

The product of its (nonzero) digits is 25, while the sum is 17.

Adding to 1005011111105 its reverse (5011111105001), we get a palindrome (6016122216106).

The spelling of 1005011111105 in words is "one trillion, five billion, eleven million, one hundred eleven thousand, one hundred five".