2103332100 has 144 divisors (see below), whose sum is σ = 6291597312. Its totient is φ = 542183040.

The previous prime is 2103332071. The next prime is 2103332107. The reversal of 2103332100 is 12333012.

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 2103332100.

It is not an unprimeable number, because it can be changed into a prime (2103332107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327909 + ... + 1329491.

It is an arithmetic number, because the mean of its divisors is an integer number (43691648).

Almost surely, 2^2103332100 is an apocalyptic number.

2103332100 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 2103332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145798656).

2103332100 is an abundant number, since it is smaller than the sum of its proper divisors (4188265212).

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

2103332100 is a wasteful number, since it uses less digits than its factorization.

2103332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2103332100 is about 45862.0987308693. The cubic root of 2103332100 is about 1281.2561114918.

Adding to 2103332100 its reverse (12333012), we get a palindrome (2115665112).

The spelling of 2103332100 in words is "two billion, one hundred three million, three hundred thirty-two thousand, one hundred".