106000561 has 2 divisors, whose sum is σ = 106000562. Its totient is φ = 106000560.

The previous prime is 106000553. The next prime is 106000567. The reversal of 106000561 is 165000601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68558400 + 37442161 = 8280^2 + 6119^2 .

It is an emirp because it is prime and its reverse (165000601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106000561 - 2³ = 106000553 is a prime.

It is a super-2 number, since 2×106000561² = 22472237864629442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106000567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53000280 + 53000281.

It is an arithmetic number, because the mean of its divisors is an integer number (53000281).

Almost surely, 2^106000561 is an apocalyptic number.

It is an amenable number.

106000561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106000561 is an equidigital number, since it uses as much as digits as its factorization.

106000561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 106000561 is about 10295.6573855194. The cubic root of 106000561 is about 473.2631840211.

The spelling of 106000561 in words is "one hundred six million, five hundred sixty-one", and thus it is an aban number.