105286057 has 2 divisors, whose sum is σ = 105286058. Its totient is φ = 105286056.

The previous prime is 105286039. The next prime is 105286079. The reversal of 105286057 is 750682501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104468841 + 817216 = 10221^2 + 904^2 .

It is an emirp because it is prime and its reverse (750682501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105286057 is a prime.

It is a super-2 number, since 2×105286057² = 22170307597214498, which contains 22 as substring.

It is equal to p_6048178 and since 105286057 and 6048178 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105284057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52643028 + 52643029.

It is an arithmetic number, because the mean of its divisors is an integer number (52643029).

Almost surely, 2^105286057 is an apocalyptic number.

It is an amenable number.

105286057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105286057 is an equidigital number, since it uses as much as digits as its factorization.

105286057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 105286057 is about 10260.8994245144. The cubic root of 105286057 is about 472.1974315895.

The spelling of 105286057 in words is "one hundred five million, two hundred eighty-six thousand, fifty-seven".