1103132800 has 384 divisors, whose sum is σ = 3518167680. Its totient is φ = 334540800.

The previous prime is 1103132777. The next prime is 1103132801. The reversal of 1103132800 is 82313011.

It is not an unprimeable number, because it can be changed into a prime (1103132801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29814382 + ... + 29814418.

It is an arithmetic number, because the mean of its divisors is an integer number (9161895).

Almost surely, 2^1103132800 is an apocalyptic number.

1103132800 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 1103132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759083840).

1103132800 is an abundant number, since it is smaller than the sum of its proper divisors (2415034880).

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

1103132800 is an equidigital number, since it uses as much as digits as its factorization.

1103132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1103132800 is about 33213.4430615075. The cubic root of 1103132800 is about 1033.2591645228.

Adding to 1103132800 its reverse (82313011), we get a palindrome (1185445811).

It can be divided in two parts, 1103 and 132800, that added together give a triangular number (133903 = T₅₁₇).

The spelling of 1103132800 in words is "one billion, one hundred three million, one hundred thirty-two thousand, eight hundred".