1003104400 has 60 divisors (see below), whose sum is σ = 2425460212. Its totient is φ = 398661120.

The previous prime is 1003104391. The next prime is 1003104407. The reversal of 1003104400 is 44013001.

It can be written as a sum of positive squares in 6 ways, for example, as 14379264 + 988725136 = 3792^2 + 31444^2 .

It is not an unprimeable number, because it can be changed into a prime (1003104407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54814 + ... + 70786.

Almost surely, 2^1003104400 is an apocalyptic number.

1003104400 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 1003104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212730106).

1003104400 is an abundant number, since it is smaller than the sum of its proper divisors (1422355812).

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

1003104400 is a wasteful number, since it uses less digits than its factorization.

1003104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16148 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1003104400 is about 31671.8234397706. The cubic root of 1003104400 is about 1001.0337310319.

Adding to 1003104400 its reverse (44013001), we get a palindrome (1047117401).

The spelling of 1003104400 in words is "one billion, three million, one hundred four thousand, four hundred".