2105813104164 has 567 divisors, whose sum is σ = 7085030518881. Its totient is φ = 545397209280.

The previous prime is 2105813104111. The next prime is 2105813104169. The reversal of 2105813104164 is 4614013185012.

The square root of 2105813104164 is 1451142.

It is a perfect power (a square), and thus also a powerful number.

2105813104164 is a `hidden beast` number, since 2 + 1 + 0 + 581 + 3 + 10 + 4 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1545650670564 + 560162433600 = 1243242^2 + 748440^2 .

It is a tau number, because it is divible by the number of its divisors (567).

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 (2105813104169) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 6033848262 + ... + 6033848610.

Almost surely, 2^{2105813104164} is an apocalyptic number.

2105813104164 is the 1451142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105813104164

2105813104164 is an abundant number, since it is smaller than the sum of its proper divisors (4979217414717).

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

2105813104164 is an equidigital number, since it uses as much as digits as its factorization.

2105813104164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 2105813104164 by its sum of digits (36), we get a square (75809271749904 = 8706852²).

2105813104164 divided by its sum of digits (36) gives a square (58494808449 = 241857²).

Adding to 2105813104164 its reverse (4614013185012), we get a palindrome (6719826289176).

The spelling of 2105813104164 in words is "two trillion, one hundred five billion, eight hundred thirteen million, one hundred four thousand, one hundred sixty-four".