106668916992 has 216 divisors, whose sum is σ = 355249571040. Its totient is φ = 30422384640.

The previous prime is 106668916961. The next prime is 106668916997. The reversal of 106668916992 is 299619866601.

It is a super-2 number, since 2×106668916992² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106668916997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307059 + ... + 554637.

It is an arithmetic number, because the mean of its divisors is an integer number (1644673940).

Almost surely, 2^106668916992 is an apocalyptic number.

106668916992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106668916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177624785520).

106668916992 is an abundant number, since it is smaller than the sum of its proper divisors (248580654048).

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

106668916992 is a wasteful number, since it uses less digits than its factorization.

106668916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247629 (or 247612 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

It can be divided in two parts, 1066689 and 16992, that added together give a square (1083681 = 1041²).

The spelling of 106668916992 in words is "one hundred six billion, six hundred sixty-eight million, nine hundred sixteen thousand, nine hundred ninety-two".