2100305200 has 120 divisors (see below), whose sum is σ = 5876061408. Its totient is φ = 706467840.

The previous prime is 2100305189. The next prime is 2100305203. The reversal of 2100305200 is 25030012.

It is a super-2 number, since 2×2100305200² = 8822563866294080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100305203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141324 + ... + 155476.

Almost surely, 2^2100305200 is an apocalyptic number.

2100305200 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 2100305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938030704).

2100305200 is an abundant number, since it is smaller than the sum of its proper divisors (3775756208).

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

2100305200 is a wasteful number, since it uses less digits than its factorization.

2100305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14231 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2100305200 is about 45829.0868335820. The cubic root of 2100305200 is about 1280.6411989286.

Adding to 2100305200 its reverse (25030012), we get a palindrome (2125335212).

The spelling of 2100305200 in words is "two billion, one hundred million, three hundred five thousand, two hundred".