108539856144 has 200 divisors, whose sum is σ = 321292775232. Its totient is φ = 35364314880.

The previous prime is 108539856121. The next prime is 108539856167. The reversal of 108539856144 is 441658935801.

It is a happy number.

108539856144 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 39 + 8 + 561 + 44 = 666.

108539856144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (108539856121) and next prime (108539856167).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12881917 + ... + 12890339.

Almost surely, 2^108539856144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108539856144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160646387616).

108539856144 is an abundant number, since it is smaller than the sum of its proper divisors (212752919088).

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

108539856144 is a wasteful number, since it uses less digits than its factorization.

108539856144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 108539856144 in words is "one hundred eight billion, five hundred thirty-nine million, eight hundred fifty-six thousand, one hundred forty-four".