2105341056 has 576 divisors, whose sum is σ = 8041924800. Its totient is φ = 522547200.

The previous prime is 2105341031. The next prime is 2105341127. The reversal of 2105341056 is 6501435012.

2105341056 is a `hidden beast` number, since 21 + 0 + 534 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13942581 + ... + 13942731.

It is an arithmetic number, because the mean of its divisors is an integer number (13961675).

Almost surely, 2^2105341056 is an apocalyptic number.

2105341056 is a gapful number since it is divisible by the number (26) 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 2105341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020962400).

2105341056 is an abundant number, since it is smaller than the sum of its proper divisors (5936583744).

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

2105341056 is a wasteful number, since it uses less digits than its factorization.

2105341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2105341056 is about 45883.9956411819. The cubic root of 2105341056 is about 1281.6639038212.

Adding to 2105341056 its reverse (6501435012), we get a palindrome (8606776068).

The spelling of 2105341056 in words is "two billion, one hundred five million, three hundred forty-one thousand, fifty-six".