108543117312 has 384 divisors, whose sum is σ = 386830080000. Its totient is φ = 29378101248.

The previous prime is 108543117289. The next prime is 108543117323. The reversal of 108543117312 is 213711345801.

108543117312 is a `hidden beast` number, since 108 + 543 + 1 + 1 + 7 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7346989 + ... + 7361747.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370000).

Almost surely, 2^108543117312 is an apocalyptic number.

108543117312 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 108543117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193415040000).

108543117312 is an abundant number, since it is smaller than the sum of its proper divisors (278286962688).

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

108543117312 is a wasteful number, since it uses less digits than its factorization.

108543117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14790 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 108543117312 in words is "one hundred eight billion, five hundred forty-three million, one hundred seventeen thousand, three hundred twelve".