106540561 has 2 divisors, whose sum is σ = 106540562. Its totient is φ = 106540560.

The previous prime is 106540559. The next prime is 106540573. The reversal of 106540561 is 165045601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105987025 + 553536 = 10295^2 + 744^2 .

It is a cyclic number.

It is not a de Polignac number, because 106540561 - 2¹ = 106540559 is a prime.

It is a super-2 number, since 2×106540561² = 22701782276389442, which contains 22 as substring.

Together with 106540559, 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 (106544561) 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, 53270280 + 53270281.

It is an arithmetic number, because the mean of its divisors is an integer number (53270281).

Almost surely, 2^106540561 is an apocalyptic number.

It is an amenable number.

106540561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106540561 is an equidigital number, since it uses as much as digits as its factorization.

106540561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 106540561 is about 10321.8487200695. The cubic root of 106540561 is about 474.0654733986.

The spelling of 106540561 in words is "one hundred six million, five hundred forty thousand, five hundred sixty-one".