105066362081681 has 64 divisors (see below), whose sum is σ = 144982660816896. Its totient is φ = 73478007187200.

The previous prime is 105066362081671. The next prime is 105066362081731. The reversal of 105066362081681 is 186180263660501.

It is a happy number.

It is not a de Polignac number, because 105066362081681 - 2²⁶ = 105066294972817 is a prime.

It is a super-2 number, since 2×105066362081681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066362081621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51706886 + ... + 53700416.

It is an arithmetic number, because the mean of its divisors is an integer number (2265354075264).

Almost surely, 2^{105066362081681} is an apocalyptic number.

105066362081681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105066362081681 is a deficient number, since it is larger than the sum of its proper divisors (39916298735215).

105066362081681 is a wasteful number, since it uses less digits than its factorization.

105066362081681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995022.

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 105066362081681 in words is "one hundred five trillion, sixty-six billion, three hundred sixty-two million, eighty-one thousand, six hundred eighty-one".