109142241116160 has 816 divisors, whose sum is σ = 419384653304832. Its totient is φ = 24141732249600.

The previous prime is 109142241116123. The next prime is 109142241116201. The reversal of 109142241116160 is 61611142241901.

It is a super-2 number, since 2×109142241116160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493201215 + ... + 1493274305.

Almost surely, 2^{109142241116160} is an apocalyptic number.

109142241116160 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 109142241116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209692326652416).

109142241116160 is an abundant number, since it is smaller than the sum of its proper divisors (310242412188672).

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

109142241116160 is an frugal number, since it uses more digits than its factorization.

109142241116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73176 (or 73139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 109142241116160 in words is "one hundred nine trillion, one hundred forty-two billion, two hundred forty-one million, one hundred sixteen thousand, one hundred sixty".