1103032100 has 72 divisors (see below), whose sum is σ = 2428881000. Its totient is φ = 434764800.

The previous prime is 1103032093. The next prime is 1103032129. The reversal of 1103032100 is 12303011.

It can be written as a sum of positive squares in 12 ways, for example, as 621405184 + 481626916 = 24928^2 + 21946^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2696696 + ... + 2697104.

Almost surely, 2^1103032100 is an apocalyptic number.

1103032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214440500).

1103032100 is an abundant number, since it is smaller than the sum of its proper divisors (1325848900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1103032100 is a wasteful number, since it uses less digits than its factorization.

1103032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1103032100 is about 33211.9270744713. The cubic root of 1103032100 is about 1033.2277230487.

Adding to 1103032100 its reverse (12303011), we get a palindrome (1115335111).

The spelling of 1103032100 in words is "one billion, one hundred three million, thirty-two thousand, one hundred".