1005555111105 has 16 divisors (see below), whose sum is σ = 1652371642944. Its totient is φ = 521801570880.

The previous prime is 1005555111103. The next prime is 1005555111109. The reversal of 1005555111105 is 5011115555001.

It is a happy number.

It is not a de Polignac number, because 1005555111105 - 2¹ = 1005555111103 is a prime.

It is a super-2 number, since 2×1005555111105² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1005555111103) 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 15 ways as a sum of consecutive naturals, for example, 905904951 + ... + 905906060.

It is an arithmetic number, because the mean of its divisors is an integer number (103273227684).

Almost surely, 2^{1005555111105} is an apocalyptic number.

1005555111105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005555111105 is a deficient number, since it is larger than the sum of its proper divisors (646816531839).

1005555111105 is a wasteful number, since it uses less digits than its factorization.

1005555111105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811811056.

The product of its (nonzero) digits is 3125, while the sum is 30.

The spelling of 1005555111105 in words is "one trillion, five billion, five hundred fifty-five million, one hundred eleven thousand, one hundred five".