2106271085849 has 6 divisors (see below), whose sum is σ = 2450152079514. Its totient is φ = 1805375216400.

The previous prime is 2106271085843. The next prime is 2106271085851. The reversal of 2106271085849 is 9485801726012.

It can be written as a sum of positive squares in only one way, i.e., 1701571540249 + 404699545600 = 1304443^2 + 636160^2 .

It is not a de Polignac number, because 2106271085849 - 2¹⁶ = 2106271020313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2106271085849.

It is not an unprimeable number, because it can be changed into a prime (2106271085843) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21492562052 + ... + 21492562149.

It is an arithmetic number, because the mean of its divisors is an integer number (408358679919).

Almost surely, 2^{2106271085849} is an apocalyptic number.

It is an amenable number.

2106271085849 is a deficient number, since it is larger than the sum of its proper divisors (343880993665).

2106271085849 is an equidigital number, since it uses as much as digits as its factorization.

2106271085849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42985124215 (or 42985124208 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 2106271085849 in words is "two trillion, one hundred six billion, two hundred seventy-one million, eighty-five thousand, eight hundred forty-nine".