106650165168 has 120 divisors (see below), whose sum is σ = 300363766560. Its totient is φ = 35325480960.

The previous prime is 106650165109. The next prime is 106650165199. The reversal of 106650165168 is 861561056601.

106650165168 is a `hidden beast` number, since 10 + 66 + 50 + 16 + 516 + 8 = 666.

106650165168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106650165168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15940768 + ... + 15947456.

It is an arithmetic number, because the mean of its divisors is an integer number (2503031388).

Almost surely, 2^106650165168 is an apocalyptic number.

106650165168 is a gapful number since it is divisible by the number (18) 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 106650165168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150181883280).

106650165168 is an abundant number, since it is smaller than the sum of its proper divisors (193713601392).

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

106650165168 is a wasteful number, since it uses less digits than its factorization.

106650165168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 106650165168 in words is "one hundred six billion, six hundred fifty million, one hundred sixty-five thousand, one hundred sixty-eight".