2100438900 has 162 divisors, whose sum is σ = 7658761110. Its totient is φ = 480090240.

The previous prime is 2100438889. The next prime is 2100438911. The reversal of 2100438900 is 98340012.

It is an interprime number because it is at equal distance from previous prime (2100438889) and next prime (2100438911).

It can be written as a sum of positive squares in 3 ways, for example, as 65707236 + 2034731664 = 8106^2 + 45108^2 .

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 20286 + ... + 67914.

Almost surely, 2^2100438900 is an apocalyptic number.

2100438900 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 2100438900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829380555).

2100438900 is an abundant number, since it is smaller than the sum of its proper divisors (5558322210).

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

2100438900 is a wasteful number, since it uses less digits than its factorization.

2100438900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47663 (or 47646 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2100438900 is about 45830.5454909714. The cubic root of 2100438900 is about 1280.6683724548.

Adding to 2100438900 its reverse (98340012), we get a palindrome (2198778912).

The spelling of 2100438900 in words is "two billion, one hundred million, four hundred thirty-eight thousand, nine hundred".