104966777 has 2 divisors, whose sum is σ = 104966778. Its totient is φ = 104966776.

The previous prime is 104966749. The next prime is 104966801. The reversal of 104966777 is 777669401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101687056 + 3279721 = 10084^2 + 1811^2 .

It is a cyclic number.

It is not a de Polignac number, because 104966777 - 2¹⁰ = 104965753 is a prime.

It is a super-2 number, since 2×104966777² = 22036048547535458, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (104966737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52483388 + 52483389.

It is an arithmetic number, because the mean of its divisors is an integer number (52483389).

Almost surely, 2^104966777 is an apocalyptic number.

It is an amenable number.

104966777 is a deficient number, since it is larger than the sum of its proper divisors (1).

104966777 is an equidigital number, since it uses as much as digits as its factorization.

104966777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 444528, while the sum is 47.

The square root of 104966777 is about 10245.3295212990. The cubic root of 104966777 is about 471.7196353393.

The spelling of 104966777 in words is "one hundred four million, nine hundred sixty-six thousand, seven hundred seventy-seven".