105813887 has 2 divisors, whose sum is σ = 105813888. Its totient is φ = 105813886.

The previous prime is 105813871. The next prime is 105813901. The reversal of 105813887 is 788318501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105813887 - 2⁴ = 105813871 is a prime.

It is a super-2 number, since 2×105813887² = 22393157364097538, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105813817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52906943 + 52906944.

It is an arithmetic number, because the mean of its divisors is an integer number (52906944).

Almost surely, 2^105813887 is an apocalyptic number.

105813887 is a deficient number, since it is larger than the sum of its proper divisors (1).

105813887 is an equidigital number, since it uses as much as digits as its factorization.

105813887 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 41.

The square root of 105813887 is about 10286.5877238276. The cubic root of 105813887 is about 472.9852048526.

The spelling of 105813887 in words is "one hundred five million, eight hundred thirteen thousand, eight hundred eighty-seven".