106361551516841 has 2 divisors, whose sum is σ = 106361551516842. Its totient is φ = 106361551516840.

The previous prime is 106361551516811. The next prime is 106361551516867. The reversal of 106361551516841 is 148615155163601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98388247237225 + 7973304279616 = 9919085^2 + 2823704^2 .

It is a cyclic number.

It is not a de Polignac number, because 106361551516841 - 2¹⁸ = 106361551254697 is a prime.

It is a super-2 number, since 2×106361551516841² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106361551516811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53180775758420 + 53180775758421.

It is an arithmetic number, because the mean of its divisors is an integer number (53180775758421).

Almost surely, 2^{106361551516841} is an apocalyptic number.

It is an amenable number.

106361551516841 is a deficient number, since it is larger than the sum of its proper divisors (1).

106361551516841 is an equidigital number, since it uses as much as digits as its factorization.

106361551516841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592000, while the sum is 53.

The spelling of 106361551516841 in words is "one hundred six trillion, three hundred sixty-one billion, five hundred fifty-one million, five hundred sixteen thousand, eight hundred forty-one".