106166868912 has 240 divisors, whose sum is σ = 348625221280. Its totient is φ = 30744686592.

The previous prime is 106166868889. The next prime is 106166868919. The reversal of 106166868912 is 219868661601.

106166868912 is a `hidden beast` number, since 1 + 0 + 616 + 6 + 8 + 6 + 8 + 9 + 12 = 666.

106166868912 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106166868912² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106166868919) 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 47 ways as a sum of consecutive naturals, for example, 1590318 + ... + 1655730.

Almost surely, 2^106166868912 is an apocalyptic number.

106166868912 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 106166868912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174312610640).

106166868912 is an abundant number, since it is smaller than the sum of its proper divisors (242458352368).

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

106166868912 is a wasteful number, since it uses less digits than its factorization.

106166868912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65477 (or 65448 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 106166868912 in words is "one hundred six billion, one hundred sixty-six million, eight hundred sixty-eight thousand, nine hundred twelve".