1103105133 has 48 divisors (see below), whose sum is σ = 1744347696. Its totient is φ = 667699200.

The previous prime is 1103105111. The next prime is 1103105141. The reversal of 1103105133 is 3315013011.

It can be written as a sum of positive squares in 8 ways, for example, as 43797924 + 1059307209 = 6618^2 + 32547^2 .

It is not a de Polignac number, because 1103105133 - 2²⁴ = 1086327917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103105033) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3273141 + ... + 3273477.

It is an arithmetic number, because the mean of its divisors is an integer number (36340577).

Almost surely, 2^1103105133 is an apocalyptic number.

1103105133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1103105133 is a deficient number, since it is larger than the sum of its proper divisors (641242563).

1103105133 is a wasteful number, since it uses less digits than its factorization.

1103105133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1103105133 is about 33213.0265558561. The cubic root of 1103105133 is about 1033.2505262699.

Adding to 1103105133 its reverse (3315013011), we get a palindrome (4418118144).

The spelling of 1103105133 in words is "one billion, one hundred three million, one hundred five thousand, one hundred thirty-three".