2105827813071 has 12 divisors (see below), whose sum is σ = 3042067502448. Its totient is φ = 1403739262464.

The previous prime is 2105827813009. The next prime is 2105827813109. The reversal of 2105827813071 is 1703187285012.

2105827813071 is a `hidden beast` number, since 21 + 0 + 58 + 278 + 1 + 307 + 1 = 666.

It is not a de Polignac number, because 2105827813071 - 2²¹ = 2105825715919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105827811071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12070770 + ... + 12243983.

It is an arithmetic number, because the mean of its divisors is an integer number (253505625204).

Almost surely, 2^{2105827813071} is an apocalyptic number.

2105827813071 is a deficient number, since it is larger than the sum of its proper divisors (936239689377).

2105827813071 is a wasteful number, since it uses less digits than its factorization.

2105827813071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24324382 (or 24324379 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 2105827813071 in words is "two trillion, one hundred five billion, eight hundred twenty-seven million, eight hundred thirteen thousand, seventy-one".