106041981681 has 8 divisors (see below), whose sum is σ = 157099232160. Its totient is φ = 70694654436.

The previous prime is 106041981679. The next prime is 106041981707. The reversal of 106041981681 is 186189140601.

It is a happy number.

106041981681 is a `hidden beast` number, since 10 + 60 + 419 + 8 + 168 + 1 = 666.

It is not a de Polignac number, because 106041981681 - 2¹ = 106041981679 is a prime.

It is a super-2 number, since 2×106041981681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102041981681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963740375 + ... + 1963740428.

It is an arithmetic number, because the mean of its divisors is an integer number (19637404020).

Almost surely, 2^106041981681 is an apocalyptic number.

It is an amenable number.

106041981681 is a deficient number, since it is larger than the sum of its proper divisors (51057250479).

106041981681 is an equidigital number, since it uses as much as digits as its factorization.

106041981681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927480812 (or 3927480806 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 106041981681 in words is "one hundred six billion, forty-one million, nine hundred eighty-one thousand, six hundred eighty-one".