2105600 has 108 divisors (see below), whose sum is σ = 6082944. Its totient is φ = 706560.

The previous prime is 2105591. The next prime is 2105611. The reversal of 2105600 is 65012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44777 + ... + 44823.

2^2105600 is an apocalyptic number.

2105600 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 2105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041472).

2105600 is an abundant number, since it is smaller than the sum of its proper divisors (3977344).

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

2105600 is an equidigital number, since it uses as much as digits as its factorization.

2105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2105600 is about 1451.0685717774. The cubic root of 2105600 is about 128.1716447259.

The spelling of 2105600 in words is "two million, one hundred five thousand, six hundred".