106782769 has 2 divisors, whose sum is σ = 106782770. Its totient is φ = 106782768.

The previous prime is 106782733. The next prime is 106782779. The reversal of 106782769 is 967287601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105822369 + 960400 = 10287^2 + 980^2 .

It is a cyclic number.

It is not a de Polignac number, because 106782769 - 2⁹ = 106782257 is a prime.

It is a super-2 number, since 2×106782769² = 22805119510614722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106782779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53391384 + 53391385.

It is an arithmetic number, because the mean of its divisors is an integer number (53391385).

Almost surely, 2^106782769 is an apocalyptic number.

It is an amenable number.

106782769 is a deficient number, since it is larger than the sum of its proper divisors (1).

106782769 is an equidigital number, since it uses as much as digits as its factorization.

106782769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 106782769 is about 10333.5748412638. The cubic root of 106782769 is about 474.4244463784.

The spelling of 106782769 in words is "one hundred six million, seven hundred eighty-two thousand, seven hundred sixty-nine".