105285857 has 2 divisors, whose sum is σ = 105285858. Its totient is φ = 105285856.

The previous prime is 105285853. The next prime is 105285871. The reversal of 105285857 is 758582501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104121616 + 1164241 = 10204^2 + 1079^2 .

It is an emirp because it is prime and its reverse (758582501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105285857 - 2² = 105285853 is a prime.

It is a super-2 number, since 2×105285857² = 22170223368448898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105285853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52642928 + 52642929.

It is an arithmetic number, because the mean of its divisors is an integer number (52642929).

Almost surely, 2^105285857 is an apocalyptic number.

It is an amenable number.

105285857 is a deficient number, since it is larger than the sum of its proper divisors (1).

105285857 is an equidigital number, since it uses as much as digits as its factorization.

105285857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112000, while the sum is 41.

The square root of 105285857 is about 10260.8896787754. The cubic root of 105285857 is about 472.1971325960.

The spelling of 105285857 in words is "one hundred five million, two hundred eighty-five thousand, eight hundred fifty-seven".