106165706912160 has 576 divisors, whose sum is σ = 391154157717120. Its totient is φ = 24133652766720.

The previous prime is 106165706912159. The next prime is 106165706912201. The reversal of 106165706912160 is 61219607561601.

It is a super-2 number, since 2×106165706912160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5068290807 + ... + 5068311753.

It is an arithmetic number, because the mean of its divisors is an integer number (679087079370).

Almost surely, 2^{106165706912160} is an apocalyptic number.

106165706912160 is a gapful number since it is divisible by the number (10) 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 106165706912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195577078858560).

106165706912160 is an abundant number, since it is smaller than the sum of its proper divisors (284988450804960).

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

106165706912160 is a wasteful number, since it uses less digits than its factorization.

106165706912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22149 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 106165706912160 in words is "one hundred six trillion, one hundred sixty-five billion, seven hundred six million, nine hundred twelve thousand, one hundred sixty".