1103414400 has 672 divisors, whose sum is σ = 4562007120. Its totient is φ = 261273600.

The previous prime is 1103414381. The next prime is 1103414413. The reversal of 1103414400 is 44143011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25660779 + ... + 25660821.

Almost surely, 2^1103414400 is an apocalyptic number.

1103414400 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 1103414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281003560).

1103414400 is an abundant number, since it is smaller than the sum of its proper divisors (3458592720).

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

1103414400 is an equidigital number, since it uses as much as digits as its factorization.

1103414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1103414400 is about 33217.6820383361. The cubic root of 1103414400 is about 1033.3470780921.

Adding to 1103414400 its reverse (44143011), we get a palindrome (1147557411).

The spelling of 1103414400 in words is "one billion, one hundred three million, four hundred fourteen thousand, four hundred".