108271681200 has 360 divisors, whose sum is σ = 394099180800. Its totient is φ = 27474163200.

The previous prime is 108271681159. The next prime is 108271681237. The reversal of 108271681200 is 2186172801.

108271681200 is a `hidden beast` number, since 108 + 271 + 6 + 81 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 16473915 + ... + 16480485.

Almost surely, 2^108271681200 is an apocalyptic number.

108271681200 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 108271681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197049590400).

108271681200 is an abundant number, since it is smaller than the sum of its proper divisors (285827499600).

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

108271681200 is a wasteful number, since it uses less digits than its factorization.

108271681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 108271681200 in words is "one hundred eight billion, two hundred seventy-one million, six hundred eighty-one thousand, two hundred".