105185057 has 2 divisors, whose sum is σ = 105185058. Its totient is φ = 105185056.

The previous prime is 105185051. The next prime is 105185071. The reversal of 105185057 is 750581501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81018001 + 24167056 = 9001^2 + 4916^2 .

It is a cyclic number.

It is not a de Polignac number, because 105185057 - 2⁶ = 105184993 is a prime.

It is a super-2 number, since 2×105185057² = 22127792432186498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105185051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52592528 + 52592529.

It is an arithmetic number, because the mean of its divisors is an integer number (52592529).

Almost surely, 2^105185057 is an apocalyptic number.

It is an amenable number.

105185057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105185057 is an equidigital number, since it uses as much as digits as its factorization.

105185057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7000, while the sum is 32.

The square root of 105185057 is about 10255.9766477893. The cubic root of 105185057 is about 472.0463916505.

The spelling of 105185057 in words is "one hundred five million, one hundred eighty-five thousand, fifty-seven".