105766057 has 2 divisors, whose sum is σ = 105766058. Its totient is φ = 105766056.

The previous prime is 105766051. The next prime is 105766081. The reversal of 105766057 is 750667501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91470096 + 14295961 = 9564^2 + 3781^2 .

It is a cyclic number.

It is not a de Polignac number, because 105766057 - 2¹⁵ = 105733289 is a prime.

It is a super-2 number, since 2×105766057² = 22372917626654498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105766051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52883028 + 52883029.

It is an arithmetic number, because the mean of its divisors is an integer number (52883029).

Almost surely, 2^105766057 is an apocalyptic number.

It is an amenable number.

105766057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105766057 is an equidigital number, since it uses as much as digits as its factorization.

105766057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 105766057 is about 10284.2625890241. The cubic root of 105766057 is about 472.9139278444.

The spelling of 105766057 in words is "one hundred five million, seven hundred sixty-six thousand, fifty-seven".