1103306400 has 288 divisors, whose sum is σ = 4560958080. Its totient is φ = 252149760.

The previous prime is 1103306387. The next prime is 1103306401. The reversal of 1103306400 is 46033011.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1103306401) 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, 147552 + ... + 154848.

It is an arithmetic number, because the mean of its divisors is an integer number (15836660).

Almost surely, 2^1103306400 is an apocalyptic number.

1103306400 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 1103306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280479040).

1103306400 is an abundant number, since it is smaller than the sum of its proper divisors (3457651680).

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

1103306400 is a wasteful number, since it uses less digits than its factorization.

1103306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1103306400 is about 33216.0563583337. The cubic root of 1103306400 is about 1033.3133630087.

Adding to 1103306400 its reverse (46033011), we get a palindrome (1149339411).

The spelling of 1103306400 in words is "one billion, one hundred three million, three hundred six thousand, four hundred".