2124306100 has 72 divisors (see below), whose sum is σ = 5283272960. Its totient is φ = 726261120.

The previous prime is 2124306089. The next prime is 2124306103. The reversal of 2124306100 is 16034212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124306103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252766 + ... + 261034.

Almost surely, 2^2124306100 is an apocalyptic number.

2124306100 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 2124306100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641636480).

2124306100 is an abundant number, since it is smaller than the sum of its proper divisors (3158966860).

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

2124306100 is a wasteful number, since it uses less digits than its factorization.

2124306100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8657 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2124306100 is about 46090.1952697100. The cubic root of 2124306100 is about 1285.5008418752.

The spelling of 2124306100 in words is "two billion, one hundred twenty-four million, three hundred six thousand, one hundred".