1000111006005 has 16 divisors (see below), whose sum is σ = 1651796242944. Its totient is φ = 516186325440.

The previous prime is 1000111006001. The next prime is 1000111006007. The reversal of 1000111006005 is 5006001110001.

1000111006005 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000111006005 - 2² = 1000111006001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111006001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075387714 + ... + 1075388643.

It is an arithmetic number, because the mean of its divisors is an integer number (103237265184).

Almost surely, 2^{1000111006005} is an apocalyptic number.

1000111006005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000111006005 is a deficient number, since it is larger than the sum of its proper divisors (651685236939).

1000111006005 is a wasteful number, since it uses less digits than its factorization.

1000111006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150776396.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 1000111006005 its reverse (5006001110001), we get a palindrome (6006112116006).

The spelling of 1000111006005 in words is "one trillion, one hundred eleven million, six thousand, five".