1004104000 has 112 divisors (see below), whose sum is σ = 2500829136. Its totient is φ = 399360000.

The previous prime is 1004103907. The next prime is 1004104007. The reversal of 1004104000 is 4014001.

1004104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 334743616 + 669360384 = 18296^2 + 25872^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004104007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2503800 + ... + 2504200.

Almost surely, 2^1004104000 is an apocalyptic number.

1004104000 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 1004104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250414568).

1004104000 is an abundant number, since it is smaller than the sum of its proper divisors (1496725136).

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

1004104000 is an equidigital number, since it uses as much as digits as its factorization.

1004104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1004104000 is about 31687.6000984612. The cubic root of 1004104000 is about 1001.3661328312.

Adding to 1004104000 its reverse (4014001), we get a palindrome (1008118001).

The spelling of 1004104000 in words is "one billion, four million, one hundred four thousand".