106006601161 has 2 divisors, whose sum is σ = 106006601162. Its totient is φ = 106006601160.

The previous prime is 106006601053. The next prime is 106006601201. The reversal of 106006601161 is 161106600601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105588603136 + 417998025 = 324944^2 + 20445^2 .

It is an emirp because it is prime and its reverse (161106600601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106006601161 is a prime.

It is a super-2 number, since 2×106006601161² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106006601761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53003300580 + 53003300581.

It is an arithmetic number, because the mean of its divisors is an integer number (53003300581).

Almost surely, 2^106006601161 is an apocalyptic number.

It is an amenable number.

106006601161 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006601161 is an equidigital number, since it uses as much as digits as its factorization.

106006601161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 106006601161 in words is "one hundred six billion, six million, six hundred one thousand, one hundred sixty-one".