106682736168 has 96 divisors (see below), whose sum is σ = 290186863200. Its totient is φ = 35406854784.

The previous prime is 106682736157. The next prime is 106682736203. The reversal of 106682736168 is 861637286601.

106682736168 is a `hidden beast` number, since 10 + 6 + 6 + 8 + 2 + 7 + 3 + 616 + 8 = 666.

It is a super-2 number, since 2×106682736168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17816071 + ... + 17822057.

It is an arithmetic number, because the mean of its divisors is an integer number (3022779825).

Almost surely, 2^106682736168 is an apocalyptic number.

106682736168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106682736168 is an abundant number, since it is smaller than the sum of its proper divisors (183504127032).

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

106682736168 is a wasteful number, since it uses less digits than its factorization.

106682736168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 106682736168 in words is "one hundred six billion, six hundred eighty-two million, seven hundred thirty-six thousand, one hundred sixty-eight".