2105643536 has 80 divisors (see below), whose sum is σ = 4382457600. Its totient is φ = 977163264.

The previous prime is 2105643503. The next prime is 2105643541. The reversal of 2105643536 is 6353465012.

It is a junction number, because it is equal to n+sod(n) for n = 2105643496 and 2105643505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5303690 + ... + 5304086.

It is an arithmetic number, because the mean of its divisors is an integer number (54780720).

Almost surely, 2^2105643536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105643536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191228800).

2105643536 is an abundant number, since it is smaller than the sum of its proper divisors (2276814064).

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

2105643536 is a wasteful number, since it uses less digits than its factorization.

2105643536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 2105643536 is about 45887.2916611996. The cubic root of 2105643536 is about 1281.7252809128.

The spelling of 2105643536 in words is "two billion, one hundred five million, six hundred forty-three thousand, five hundred thirty-six".