2105257729 has 2 divisors, whose sum is σ = 2105257730. Its totient is φ = 2105257728.

The previous prime is 2105257727. The next prime is 2105257751. The reversal of 2105257729 is 9277525012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1787598400 + 317659329 = 42280^2 + 17823^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105257729 - 2¹ = 2105257727 is a prime.

It is a super-2 number, since 2×2105257729² = 8864220211028474882, which contains 22 as substring.

Together with 2105257727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2105257691 and 2105257700.

It is not a weakly prime, because it can be changed into another prime (2105257727) 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 as a sum of consecutive naturals, namely, 1052628864 + 1052628865.

It is an arithmetic number, because the mean of its divisors is an integer number (1052628865).

Almost surely, 2^2105257729 is an apocalyptic number.

It is an amenable number.

2105257729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105257729 is an equidigital number, since it uses as much as digits as its factorization.

2105257729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 2105257729 is about 45883.0876140654. The cubic root of 2105257729 is about 1281.6469946658.

The spelling of 2105257729 in words is "two billion, one hundred five million, two hundred fifty-seven thousand, seven hundred twenty-nine".