2129105205 has 12 divisors (see below), whose sum is σ = 3690449100. Its totient is φ = 1135522752.

The previous prime is 2129105201. The next prime is 2129105213. The reversal of 2129105205 is 5025019212.

2129105205 is a `hidden beast` number, since 2 + 129 + 10 + 520 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 914094756 + 1215010449 = 30234^2 + 34857^2 .

It is not a de Polignac number, because 2129105205 - 2² = 2129105201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129105201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23656680 + ... + 23656769.

It is an arithmetic number, because the mean of its divisors is an integer number (307537425).

Almost surely, 2^2129105205 is an apocalyptic number.

It is an amenable number.

2129105205 is a deficient number, since it is larger than the sum of its proper divisors (1561343895).

2129105205 is a wasteful number, since it uses less digits than its factorization.

2129105205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47313460 (or 47313457 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2129105205 is about 46142.2280021240. The cubic root of 2129105205 is about 1286.4681559555.

The spelling of 2129105205 in words is "two billion, one hundred twenty-nine million, one hundred five thousand, two hundred five".