2102323200 has 144 divisors (see below), whose sum is σ = 6950492640. Its totient is φ = 560578560.

The previous prime is 2102323177. The next prime is 2102323231. The reversal of 2102323200 is 23232012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102323200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146757 + ... + 160443.

It is an arithmetic number, because the mean of its divisors is an integer number (48267310).

Almost surely, 2^2102323200 is an apocalyptic number.

2102323200 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 2102323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475246320).

2102323200 is an abundant number, since it is smaller than the sum of its proper divisors (4848169440).

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

2102323200 is a wasteful number, since it uses less digits than its factorization.

2102323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2102323200 is about 45851.0981329782. The cubic root of 2102323200 is about 1281.0512197665.

Adding to 2102323200 its reverse (23232012), we get a palindrome (2125555212).

The spelling of 2102323200 in words is "two billion, one hundred two million, three hundred twenty-three thousand, two hundred".