2003105312 has 96 divisors (see below), whose sum is σ = 4349565360. Its totient is φ = 902430720.

The previous prime is 2003105303. The next prime is 2003105333. The reversal of 2003105312 is 2135013002.

It can be written as a sum of positive squares in 8 ways, for example, as 298736656 + 1704368656 = 17284^2 + 41284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4897364 + ... + 4897772.

Almost surely, 2^2003105312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174782680).

2003105312 is an abundant number, since it is smaller than the sum of its proper divisors (2346460048).

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

2003105312 is a wasteful number, since it uses less digits than its factorization.

2003105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2003105312 is about 44756.0645276146. The cubic root of 2003105312 is about 1260.5727873624.

Adding to 2003105312 its reverse (2135013002), we get a palindrome (4138118314).

The spelling of 2003105312 in words is "two billion, three million, one hundred five thousand, three hundred twelve".