2004103120 has 40 divisors (see below), whose sum is σ = 4661565480. Its totient is φ = 801292800.

The previous prime is 2004103111. The next prime is 2004103121. The reversal of 2004103120 is 213014002.

It can be written as a sum of positive squares in 4 ways, for example, as 57881664 + 1946221456 = 7608^2 + 44116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2004103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004103121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260286 + ... + 267874.

It is an arithmetic number, because the mean of its divisors is an integer number (116539137).

Almost surely, 2^2004103120 is an apocalyptic number.

2004103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004103120 is an abundant number, since it is smaller than the sum of its proper divisors (2657462360).

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

2004103120 is a wasteful number, since it uses less digits than its factorization.

2004103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10903 (or 10897 counting only the distinct ones).

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

The square root of 2004103120 is about 44767.2103218416. The cubic root of 2004103120 is about 1260.7820625664.

Adding to 2004103120 its reverse (213014002), we get a palindrome (2217117122).

The spelling of 2004103120 in words is "two billion, four million, one hundred three thousand, one hundred twenty".