106778561 has 2 divisors, whose sum is σ = 106778562. Its totient is φ = 106778560.

The previous prime is 106778557. The next prime is 106778563. The reversal of 106778561 is 165877601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93412225 + 13366336 = 9665^2 + 3656^2 .

It is an emirp because it is prime and its reverse (165877601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106778561 - 2² = 106778557 is a prime.

It is a super-2 number, since 2×106778561² = 22803322178461442, which contains 22 as substring.

Together with 106778563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106778563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53389280 + 53389281.

It is an arithmetic number, because the mean of its divisors is an integer number (53389281).

Almost surely, 2^106778561 is an apocalyptic number.

It is an amenable number.

106778561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106778561 is an equidigital number, since it uses as much as digits as its factorization.

106778561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 106778561 is about 10333.3712311133. The cubic root of 106778561 is about 474.4182143982.

The spelling of 106778561 in words is "one hundred six million, seven hundred seventy-eight thousand, five hundred sixty-one".