106286561 has 2 divisors, whose sum is σ = 106286562. Its totient is φ = 106286560.

The previous prime is 106286539. The next prime is 106286573. The reversal of 106286561 is 165682601.

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., 56851600 + 49434961 = 7540^2 + 7031^2 .

It is a cyclic number.

It is not a de Polignac number, because 106286561 - 2¹⁰ = 106285537 is a prime.

It is a super-2 number, since 2×106286561² = 22593666098413442, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106286591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53143280 + 53143281.

It is an arithmetic number, because the mean of its divisors is an integer number (53143281).

Almost surely, 2^106286561 is an apocalyptic number.

It is an amenable number.

106286561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106286561 is an equidigital number, since it uses as much as digits as its factorization.

106286561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 106286561 is about 10309.5373805036. The cubic root of 106286561 is about 473.6884387535.

The spelling of 106286561 in words is "one hundred six million, two hundred eighty-six thousand, five hundred sixty-one".