2105372871 has 32 divisors (see below), whose sum is σ = 3774343680. Its totient is φ = 1132299648.

The previous prime is 2105372809. The next prime is 2105372887. The reversal of 2105372871 is 1782735012.

2105372871 is a `hidden beast` number, since 210 + 5 + 372 + 8 + 71 = 666.

It is not a de Polignac number, because 2105372871 - 2⁷ = 2105372743 is a prime.

It is a super-3 number, since 3×2105372871³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105372891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324421 + ... + 330846.

It is an arithmetic number, because the mean of its divisors is an integer number (117948240).

Almost surely, 2^2105372871 is an apocalyptic number.

2105372871 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2105372871 is a deficient number, since it is larger than the sum of its proper divisors (1668970809).

2105372871 is a wasteful number, since it uses less digits than its factorization.

2105372871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655300 (or 655294 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2105372871 is about 45884.3423293829. The cubic root of 2105372871 is about 1281.6703597715.

The spelling of 2105372871 in words is "two billion, one hundred five million, three hundred seventy-two thousand, eight hundred seventy-one".