106659647712 has 72 divisors (see below), whose sum is σ = 306721462320. Its totient is φ = 35153733120.

The previous prime is 106659647687. The next prime is 106659647741. The reversal of 106659647712 is 217746956601.

106659647712 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 596 + 47 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106659647712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2054964 + ... + 2106227.

It is an arithmetic number, because the mean of its divisors is an integer number (4260020310).

Almost surely, 2^106659647712 is an apocalyptic number.

106659647712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106659647712 is an abundant number, since it is smaller than the sum of its proper divisors (200061814608).

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

106659647712 is a wasteful number, since it uses less digits than its factorization.

106659647712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161296 (or 4161285 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 106659647712 in words is "one hundred six billion, six hundred fifty-nine million, six hundred forty-seven thousand, seven hundred twelve".