2105817898068 has 336 divisors, whose sum is σ = 5940127694592. Its totient is φ = 651271104000.

The previous prime is 2105817898049. The next prime is 2105817898123. The reversal of 2105817898068 is 8608987185012.

It is a junction number, because it is equal to n+sod(n) for n = 2105817897996 and 2105817898014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 497709513 + ... + 497713743.

It is an arithmetic number, because the mean of its divisors is an integer number (17678951472).

Almost surely, 2^{2105817898068} 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 2105817898068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970063847296).

2105817898068 is an abundant number, since it is smaller than the sum of its proper divisors (3834309796524).

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

2105817898068 is a wasteful number, since it uses less digits than its factorization.

2105817898068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 2105817898068 in words is "two trillion, one hundred five billion, eight hundred seventeen million, eight hundred ninety-eight thousand, sixty-eight".