2105307832320 has 2688 divisors, whose sum is σ = 9810146691072. Its totient is φ = 420426547200.

The previous prime is 2105307832319. The next prime is 2105307832321. The reversal of 2105307832320 is 232387035012.

2105307832320 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 307 + 8 + 323 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2105307832319) and next prime (2105307832321).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2105307832321) 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, 31422504927 + ... + 31422504993.

It is an arithmetic number, because the mean of its divisors is an integer number (3649608144).

Almost surely, 2^{2105307832320} is an apocalyptic number.

2105307832320 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 2105307832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905073345536).

2105307832320 is an abundant number, since it is smaller than the sum of its proper divisors (7704838858752).

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

2105307832320 is an equidigital number, since it uses as much as digits as its factorization.

2105307832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2105307832320 in words is "two trillion, one hundred five billion, three hundred seven million, eight hundred thirty-two thousand, three hundred twenty".