1100111103 has 96 divisors (see below), whose sum is σ = 2026752000. Its totient is φ = 571281984.

The previous prime is 1100111071. The next prime is 1100111113. The reversal of 1100111103 is 3011110011.

It is not a de Polignac number, because 1100111103 - 2⁵ = 1100111071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3170176 + ... + 3170522.

It is an arithmetic number, because the mean of its divisors is an integer number (21112000).

Almost surely, 2^1100111103 is an apocalyptic number.

1100111103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1100111103 is a deficient number, since it is larger than the sum of its proper divisors (926640897).

1100111103 is a wasteful number, since it uses less digits than its factorization.

1100111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1100111103 is about 33167.9228020086. The cubic root of 1100111103 is about 1032.3148686553.

Adding to 1100111103 its reverse (3011110011), we get a palindrome (4111221114).

The spelling of 1100111103 in words is "one billion, one hundred million, one hundred eleven thousand, one hundred three".