2105508984267 has 48 divisors (see below), whose sum is σ = 3051450382848. Its totient is φ = 1290785258880.

The previous prime is 2105508984253. The next prime is 2105508984269. The reversal of 2105508984267 is 7624898055012.

It is not a de Polignac number, because 2105508984267 - 2¹⁸ = 2105508722123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2105508984269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189970908 + ... + 189981990.

It is an arithmetic number, because the mean of its divisors is an integer number (63571882976).

Almost surely, 2^{2105508984267} is an apocalyptic number.

2105508984267 is a deficient number, since it is larger than the sum of its proper divisors (945941398581).

2105508984267 is a wasteful number, since it uses less digits than its factorization.

2105508984267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 2105508984267 in words is "two trillion, one hundred five billion, five hundred eight million, nine hundred eighty-four thousand, two hundred sixty-seven".