106846777 has 2 divisors, whose sum is σ = 106846778. Its totient is φ = 106846776.

The previous prime is 106846771. The next prime is 106846783. The reversal of 106846777 is 777648601.

It is a balanced prime because it is at equal distance from previous prime (106846771) and next prime (106846783).

It can be written as a sum of positive squares in only one way, i.e., 97990201 + 8856576 = 9899^2 + 2976^2 .

It is a cyclic number.

It is not a de Polignac number, because 106846777 - 2³ = 106846769 is a prime.

It is a super-2 number, since 2×106846777² = 22832467510575458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106846771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53423388 + 53423389.

It is an arithmetic number, because the mean of its divisors is an integer number (53423389).

Almost surely, 2^106846777 is an apocalyptic number.

It is an amenable number.

106846777 is a deficient number, since it is larger than the sum of its proper divisors (1).

106846777 is an equidigital number, since it uses as much as digits as its factorization.

106846777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 106846777 is about 10336.6714661926. The cubic root of 106846777 is about 474.5192210151.

The spelling of 106846777 in words is "one hundred six million, eight hundred forty-six thousand, seven hundred seventy-seven".