108066516141056 has 176 divisors, whose sum is σ = 239417455380480. Its totient is φ = 48343286784000.

The previous prime is 108066516141049. The next prime is 108066516141079. The reversal of 108066516141056 is 650141615660801.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 108066516140995 and 108066516141013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276549971 + ... + 276940461.

Almost surely, 2^{108066516141056} is an apocalyptic number.

108066516141056 is a gapful number since it is divisible by the number (16) 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 108066516141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119708727690240).

108066516141056 is an abundant number, since it is smaller than the sum of its proper divisors (131350939239424).

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

108066516141056 is a wasteful number, since it uses less digits than its factorization.

108066516141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390912 (or 390894 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 108066516141056 in words is "one hundred eight trillion, sixty-six billion, five hundred sixteen million, one hundred forty-one thousand, fifty-six".