106662806081568 has 144 divisors (see below), whose sum is σ = 338967776058912. Its totient is φ = 31533719424000.

The previous prime is 106662806081567. The next prime is 106662806081603. The reversal of 106662806081568 is 865180608266601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106662806081568² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106662806081567) 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 23 ways as a sum of consecutive naturals, for example, 410465418 + ... + 410725193.

It is an arithmetic number, because the mean of its divisors is an integer number (2353942889298).

Almost surely, 2^{106662806081568} is an apocalyptic number.

106662806081568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106662806081568 is an abundant number, since it is smaller than the sum of its proper divisors (232304969977344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106662806081568 is a wasteful number, since it uses less digits than its factorization.

106662806081568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821190679 (or 821190668 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 106662806081568 in words is "one hundred six trillion, six hundred sixty-two billion, eight hundred six million, eighty-one thousand, five hundred sixty-eight".