2103032100 has 288 divisors, whose sum is σ = 6990802560. Its totient is φ = 483840000.

The previous prime is 2103032093. The next prime is 2103032131. The reversal of 2103032100 is 12303012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 7483960 + ... + 7484240.

It is an arithmetic number, because the mean of its divisors is an integer number (24273620).

Almost surely, 2^2103032100 is an apocalyptic number.

2103032100 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 2103032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495401280).

2103032100 is an abundant number, since it is smaller than the sum of its proper divisors (4887770460).

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

2103032100 is a wasteful number, since it uses less digits than its factorization.

2103032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2103032100 is about 45858.8279396672. The cubic root of 2103032100 is about 1281.1951930552.

Adding to 2103032100 its reverse (12303012), we get a palindrome (2115335112).

The spelling of 2103032100 in words is "two billion, one hundred three million, thirty-two thousand, one hundred".