1103434400 has 72 divisors (see below), whose sum is σ = 2712131100. Its totient is φ = 438364160.

The previous prime is 1103434399. The next prime is 1103434421. The reversal of 1103434400 is 44343011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27331984 + 1076102416 = 5228^2 + 32804^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114572 + ... + 123828.

Almost surely, 2^1103434400 is an apocalyptic number.

1103434400 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 1103434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356065550).

1103434400 is an abundant number, since it is smaller than the sum of its proper divisors (1608696700).

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

1103434400 is a wasteful number, since it uses less digits than its factorization.

1103434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1103434400 is about 33217.9830814575. The cubic root of 1103434400 is about 1033.3533213847.

Adding to 1103434400 its reverse (44343011), we get a palindrome (1147777411).

The spelling of 1103434400 in words is "one billion, one hundred three million, four hundred thirty-four thousand, four hundred".