106565057 has 2 divisors, whose sum is σ = 106565058. Its totient is φ = 106565056.

The previous prime is 106565023. The next prime is 106565087. The reversal of 106565057 is 750565601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94167616 + 12397441 = 9704^2 + 3521^2 .

It is a cyclic number.

It is not a de Polignac number, because 106565057 - 2¹⁸ = 106302913 is a prime.

It is a super-2 number, since 2×106565057² = 22712222746826498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106565087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53282528 + 53282529.

It is an arithmetic number, because the mean of its divisors is an integer number (53282529).

Almost surely, 2^106565057 is an apocalyptic number.

It is an amenable number.

106565057 is a deficient number, since it is larger than the sum of its proper divisors (1).

106565057 is an equidigital number, since it uses as much as digits as its factorization.

106565057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 106565057 is about 10323.0352610073. The cubic root of 106565057 is about 474.1018032804.

The spelling of 106565057 in words is "one hundred six million, five hundred sixty-five thousand, fifty-seven".