1111011105006 has 48 divisors (see below), whose sum is σ = 2626113934080. Its totient is φ = 336658790160.

The previous prime is 1111011104947. The next prime is 1111011105007. The reversal of 1111011105006 is 6005011101111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1111011105006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111011105007) 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 23 ways as a sum of consecutive naturals, for example, 7334785 + ... + 7484723.

It is an arithmetic number, because the mean of its divisors is an integer number (54710706960).

Almost surely, 2^{1111011105006} is an apocalyptic number.

1111011105006 is an abundant number, since it is smaller than the sum of its proper divisors (1515102829074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1111011105006 is a wasteful number, since it uses less digits than its factorization.

1111011105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187381 (or 187378 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 1111011105006 its reverse (6005011101111), we get a palindrome (7116022206117).

The spelling of 1111011105006 in words is "one trillion, one hundred eleven billion, eleven million, one hundred five thousand, six".