106211605601 has 2 divisors, whose sum is σ = 106211605602. Its totient is φ = 106211605600.

The previous prime is 106211605559. The next prime is 106211605609. The reversal of 106211605601 is 106506112601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90601602001 + 15610003600 = 301001^2 + 124940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106211605601 is a prime.

It is a super-2 number, since 2×106211605601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106211605609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53105802800 + 53105802801.

It is an arithmetic number, because the mean of its divisors is an integer number (53105802801).

Almost surely, 2^106211605601 is an apocalyptic number.

It is an amenable number.

106211605601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106211605601 is an equidigital number, since it uses as much as digits as its factorization.

106211605601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 106211605601 in words is "one hundred six billion, two hundred eleven million, six hundred five thousand, six hundred one".