2106338800 has 30 divisors (see below), whose sum is σ = 5060479928. Its totient is φ = 842535360.

The previous prime is 2106338791. The next prime is 2106338809. The reversal of 2106338800 is 88336012.

It is an interprime number because it is at equal distance from previous prime (2106338791) and next prime (2106338809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106338809) 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 5 ways as a sum of consecutive naturals, for example, 2632524 + ... + 2633323.

Almost surely, 2^2106338800 is an apocalyptic number.

2106338800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106338800 is an abundant number, since it is smaller than the sum of its proper divisors (2954141128).

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

2106338800 is a wasteful number, since it uses less digits than its factorization.

2106338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265865 (or 5265854 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2106338800 is about 45894.8668153640. The cubic root of 2106338800 is about 1281.8663366624.

The spelling of 2106338800 in words is "two billion, one hundred six million, three hundred thirty-eight thousand, eight hundred".