105193853 has 2 divisors, whose sum is σ = 105193854. Its totient is φ = 105193852.

The previous prime is 105193831. The next prime is 105193859. The reversal of 105193853 is 358391501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103999204 + 1194649 = 10198^2 + 1093^2 .

It is a cyclic number.

It is not a de Polignac number, because 105193853 - 2²⁴ = 88416637 is a prime.

It is a super-2 number, since 2×105193853² = 22131493417971218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105193859) 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, 52596926 + 52596927.

It is an arithmetic number, because the mean of its divisors is an integer number (52596927).

Almost surely, 2^105193853 is an apocalyptic number.

It is an amenable number.

105193853 is a deficient number, since it is larger than the sum of its proper divisors (1).

105193853 is an equidigital number, since it uses as much as digits as its factorization.

105193853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 105193853 is about 10256.4054619540. The cubic root of 105193853 is about 472.0595494267.

The spelling of 105193853 in words is "one hundred five million, one hundred ninety-three thousand, eight hundred fifty-three".