105766643 has 2 divisors, whose sum is σ = 105766644. Its totient is φ = 105766642.

The previous prime is 105766613. The next prime is 105766657. The reversal of 105766643 is 346667501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (346667501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105766643 - 2⁶ = 105766579 is a prime.

It is a super-2 number, since 2×105766643² = 22373165542978898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105766597 and 105766606.

It is not a weakly prime, because it can be changed into another prime (105766613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52883321 + 52883322.

It is an arithmetic number, because the mean of its divisors is an integer number (52883322).

Almost surely, 2^105766643 is an apocalyptic number.

105766643 is a deficient number, since it is larger than the sum of its proper divisors (1).

105766643 is an equidigital number, since it uses as much as digits as its factorization.

105766643 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 105766643 is about 10284.2910791167. The cubic root of 105766643 is about 472.9148012407.

The spelling of 105766643 in words is "one hundred five million, seven hundred sixty-six thousand, six hundred forty-three".