106245122561 has 2 divisors, whose sum is σ = 106245122562. Its totient is φ = 106245122560.

The previous prime is 106245122539. The next prime is 106245122569. The reversal of 106245122561 is 165221542601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106197774400 + 47348161 = 325880^2 + 6881^2 .

It is an emirp because it is prime and its reverse (165221542601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106245122561 - 2¹⁰ = 106245121537 is a prime.

It is a super-3 number, since 3×106245122561³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (106245122569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53122561280 + 53122561281.

It is an arithmetic number, because the mean of its divisors is an integer number (53122561281).

Almost surely, 2^106245122561 is an apocalyptic number.

It is an amenable number.

106245122561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106245122561 is an equidigital number, since it uses as much as digits as its factorization.

106245122561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 106245122561 in words is "one hundred six billion, two hundred forty-five million, one hundred twenty-two thousand, five hundred sixty-one".