2105522000 has 120 divisors (see below), whose sum is σ = 5239274040. Its totient is φ = 818380800.

The previous prime is 2105521987. The next prime is 2105522009. The reversal of 2105522000 is 2255012.

It can be written as a sum of positive squares in 12 ways, for example, as 667292224 + 1438229776 = 25832^2 + 37924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2105522000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105522009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2737616 + ... + 2738384.

It is an arithmetic number, because the mean of its divisors is an integer number (43660617).

Almost surely, 2^2105522000 is an apocalyptic number.

2105522000 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 2105522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619637020).

2105522000 is an abundant number, since it is smaller than the sum of its proper divisors (3133752040).

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

2105522000 is an equidigital number, since it uses as much as digits as its factorization.

2105522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2105522000 is about 45885.9673538654. The cubic root of 2105522000 is about 1281.7006203980.

Adding to 2105522000 its reverse (2255012), we get a palindrome (2107777012).

The spelling of 2105522000 in words is "two billion, one hundred five million, five hundred twenty-two thousand".