1001105905687 has 2 divisors, whose sum is σ = 1001105905688. Its totient is φ = 1001105905686.

The previous prime is 1001105905619. The next prime is 1001105905697. The reversal of 1001105905687 is 7865095011001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001105905687 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001105905607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500552952843 + 500552952844.

It is an arithmetic number, because the mean of its divisors is an integer number (500552952844).

Almost surely, 2^{1001105905687} is an apocalyptic number.

1001105905687 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001105905687 is an equidigital number, since it uses as much as digits as its factorization.

1001105905687 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 43.

The spelling of 1001105905687 in words is "one trillion, one billion, one hundred five million, nine hundred five thousand, six hundred eighty-seven".