108601345188 has 288 divisors, whose sum is σ = 340885708800. Its totient is φ = 29575518336.

The previous prime is 108601345183. The next prime is 108601345207. The reversal of 108601345188 is 881543106801.

108601345188 is a `hidden beast` number, since 1 + 0 + 8 + 601 + 34 + 5 + 1 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (108601345183) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15584481 + ... + 15591447.

Almost surely, 2^108601345188 is an apocalyptic number.

108601345188 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 108601345188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170442854400).

108601345188 is an abundant number, since it is smaller than the sum of its proper divisors (232284363612).

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

108601345188 is a wasteful number, since it uses less digits than its factorization.

108601345188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 108601345188 in words is "one hundred eight billion, six hundred one million, three hundred forty-five thousand, one hundred eighty-eight".