2100505189 has 2 divisors, whose sum is σ = 2100505190. Its totient is φ = 2100505188.

The previous prime is 2100505097. The next prime is 2100505219. The reversal of 2100505189 is 9815050012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2099930625 + 574564 = 45825^2 + 758^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100505189 - 2¹⁹ = 2099980901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100505189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100505289) by changing a digit.

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 as a sum of consecutive naturals, namely, 1050252594 + 1050252595.

It is an arithmetic number, because the mean of its divisors is an integer number (1050252595).

Almost surely, 2^2100505189 is an apocalyptic number.

It is an amenable number.

2100505189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100505189 is an equidigital number, since it uses as much as digits as its factorization.

2100505189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 2100505189 is about 45831.2686819817. The cubic root of 2100505189 is about 1280.6818447713.

The spelling of 2100505189 in words is "two billion, one hundred million, five hundred five thousand, one hundred eighty-nine".