2003140100 has 54 divisors (see below), whose sum is σ = 4706944830. Its totient is φ = 739614720.

The previous prime is 2003140099. The next prime is 2003140109. The reversal of 2003140100 is 10413002.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1249198336 + 753941764 = 35344^2 + 27458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003140109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42365 + ... + 76164.

It is an arithmetic number, because the mean of its divisors is an integer number (87165645).

Almost surely, 2^2003140100 is an apocalyptic number.

2003140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003140100 is an abundant number, since it is smaller than the sum of its proper divisors (2703804730).

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

2003140100 is a wasteful number, since it uses less digits than its factorization.

2003140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118569 (or 118549 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2003140100 is about 44756.4531659961. The cubic root of 2003140100 is about 1260.5800847907.

Adding to 2003140100 its reverse (10413002), we get a palindrome (2013553102).

The spelling of 2003140100 in words is "two billion, three million, one hundred forty thousand, one hundred".