105285853 has 2 divisors, whose sum is σ = 105285854. Its totient is φ = 105285852.

The previous prime is 105285847. The next prime is 105285857. The reversal of 105285853 is 358582501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74338884 + 30946969 = 8622^2 + 5563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105285853 is a prime.

It is a super-2 number, since 2×105285853² = 22170221683875218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105285857) 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, 52642926 + 52642927.

It is an arithmetic number, because the mean of its divisors is an integer number (52642927).

Almost surely, 2^105285853 is an apocalyptic number.

It is an amenable number.

105285853 is a deficient number, since it is larger than the sum of its proper divisors (1).

105285853 is an equidigital number, since it uses as much as digits as its factorization.

105285853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 105285853 is about 10260.8894838605. The cubic root of 105285853 is about 472.1971266161.

The spelling of 105285853 in words is "one hundred five million, two hundred eighty-five thousand, eight hundred fifty-three".