2105140042917 has 6 divisors (see below), whose sum is σ = 3040757839782. Its totient is φ = 1403426695272.

The previous prime is 2105140042909. The next prime is 2105140042931. The reversal of 2105140042917 is 7192400415012.

2105140042917 is a `hidden beast` number, since 2 + 10 + 514 + 0 + 0 + 42 + 91 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2102357902401 + 2782140516 = 1449951^2 + 52746^2 .

It is not a de Polignac number, because 2105140042917 - 2³ = 2105140042909 is a prime.

It is a super-2 number, since 2×2105140042917² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105142042917) 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, 116952224598 + ... + 116952224615.

It is an arithmetic number, because the mean of its divisors is an integer number (506792973297).

Almost surely, 2^{2105140042917} is an apocalyptic number.

It is an amenable number.

2105140042917 is a deficient number, since it is larger than the sum of its proper divisors (935617796865).

2105140042917 is a wasteful number, since it uses less digits than its factorization.

2105140042917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233904449219 (or 233904449216 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 2105140042917 its reverse (7192400415012), we get a palindrome (9297540457929).

The spelling of 2105140042917 in words is "two trillion, one hundred five billion, one hundred forty million, forty-two thousand, nine hundred seventeen".