109442282166 has 384 divisors, whose sum is σ = 308809912320. Its totient is φ = 28351078272.

The previous prime is 109442282161. The next prime is 109442282167. The reversal of 109442282166 is 661282244901.

It is a happy number.

109442282166 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 422 + 8 + 216 + 6 = 666.

It is a super-2 number, since 2×109442282166² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109442282161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160237261 + ... + 160237943.

It is an arithmetic number, because the mean of its divisors is an integer number (804192480).

Almost surely, 2^109442282166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109442282166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154404956160).

109442282166 is an abundant number, since it is smaller than the sum of its proper divisors (199367630154).

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

109442282166 is a wasteful number, since it uses less digits than its factorization.

109442282166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 109442282166 in words is "one hundred nine billion, four hundred forty-two million, two hundred eighty-two thousand, one hundred sixty-six".