2105324113320 has 768 divisors, whose sum is σ = 7624012032000. Its totient is φ = 520942980096.

The previous prime is 2105324113309. The next prime is 2105324113327. The reversal of 2105324113320 is 233114235012.

2105324113320 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 324 + 1 + 1 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2105324113327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2833544869 + ... + 2833545611.

It is an arithmetic number, because the mean of its divisors is an integer number (9927099000).

Almost surely, 2^{2105324113320} is an apocalyptic number.

2105324113320 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 2105324113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812006016000).

2105324113320 is an abundant number, since it is smaller than the sum of its proper divisors (5518687918680).

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

2105324113320 is a wasteful number, since it uses less digits than its factorization.

2105324113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2105324113320 its reverse (233114235012), we get a palindrome (2338438348332).

The spelling of 2105324113320 in words is "two trillion, one hundred five billion, three hundred twenty-four million, one hundred thirteen thousand, three hundred twenty".