106005010561 has 2 divisors, whose sum is σ = 106005010562. Its totient is φ = 106005010560.

The previous prime is 106005010549. The next prime is 106005010627. The reversal of 106005010561 is 165010500601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64895015025 + 41109995536 = 254745^2 + 202756^2 .

It is an emirp because it is prime and its reverse (165010500601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106005010561 - 2⁹ = 106005010049 is a prime.

It is a super-2 number, since 2×106005010561² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106005010511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002505280 + 53002505281.

It is an arithmetic number, because the mean of its divisors is an integer number (53002505281).

Almost surely, 2^106005010561 is an apocalyptic number.

It is an amenable number.

106005010561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005010561 is an equidigital number, since it uses as much as digits as its factorization.

106005010561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 106005010561 in words is "one hundred six billion, five million, ten thousand, five hundred sixty-one".