1100116105 has 16 divisors (see below), whose sum is σ = 1502769024. Its totient is φ = 765297280.

The previous prime is 1100116067. The next prime is 1100116211. The reversal of 1100116105 is 5016110011.

It is not a de Polignac number, because 1100116105 - 2²¹ = 1098018953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433564 + ... + 436093.

It is an arithmetic number, because the mean of its divisors is an integer number (93923064).

Almost surely, 2^1100116105 is an apocalyptic number.

It is an amenable number.

1100116105 is a deficient number, since it is larger than the sum of its proper divisors (402652919).

1100116105 is a wasteful number, since it uses less digits than its factorization.

1100116105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869696.

The product of its (nonzero) digits is 30, while the sum is 16.

The square root of 1100116105 is about 33167.9982061022. The cubic root of 1100116105 is about 1032.3164332340.

Adding to 1100116105 its reverse (5016110011), we get a palindrome (6116226116).

The spelling of 1100116105 in words is "one billion, one hundred million, one hundred sixteen thousand, one hundred five".