105891853 has 2 divisors, whose sum is σ = 105891854. Its totient is φ = 105891852.

The previous prime is 105891823. The next prime is 105891857. The reversal of 105891853 is 358198501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95218564 + 10673289 = 9758^2 + 3267^2 .

It is an emirp because it is prime and its reverse (358198501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105891853 is a prime.

It is a super-2 number, since 2×105891853² = 22426169063547218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105891857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52945926 + 52945927.

It is an arithmetic number, because the mean of its divisors is an integer number (52945927).

Almost surely, 2^105891853 is an apocalyptic number.

It is an amenable number.

105891853 is a deficient number, since it is larger than the sum of its proper divisors (1).

105891853 is an equidigital number, since it uses as much as digits as its factorization.

105891853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 40.

The square root of 105891853 is about 10290.3767180799. The cubic root of 105891853 is about 473.1013449675.

The spelling of 105891853 in words is "one hundred five million, eight hundred ninety-one thousand, eight hundred fifty-three".