2101600 has 72 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 806400.

The previous prime is 2101553. The next prime is 2101607. The reversal of 2101600 is 61012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29565 + ... + 29635.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

2^2101600 is an apocalyptic number.

2101600 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 2101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2101600 is an abundant number, since it is smaller than the sum of its proper divisors (3241808).

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

2101600 is a wasteful number, since it uses less digits than its factorization.

2101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2101600 is about 1449.6896219536. The cubic root of 2101600 is about 128.0904308880.

Adding to 2101600 its reverse (61012), we get a palindrome (2162612).

It can be divided in two parts, 2101 and 600, that added together give a triangular number (2701 = T₇₃).

The spelling of 2101600 in words is "two million, one hundred one thousand, six hundred".