2000103300 has 144 divisors (see below), whose sum is σ = 6924695680. Its totient is φ = 492324480.

The previous prime is 2000103257. The next prime is 2000103307. The reversal of 2000103300 is 33010002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2000103307) 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 47 ways as a sum of consecutive naturals, for example, 6609 + ... + 63591.

Almost surely, 2^2000103300 is an apocalyptic number.

2000103300 is a gapful number since it is divisible by the number (20) 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 2000103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462347840).

2000103300 is an abundant number, since it is smaller than the sum of its proper divisors (4924592380).

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

2000103300 is a wasteful number, since it uses less digits than its factorization.

2000103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57019 (or 57006 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2000103300 is about 44722.5144641935. The cubic root of 2000103300 is about 1259.9427411622.

Adding to 2000103300 its reverse (33010002), we get a palindrome (2033113302).

The spelling of 2000103300 in words is "two billion, one hundred three thousand, three hundred".