108272275200 has 972 divisors, whose sum is σ = 421803502848. Its totient is φ = 26475724800.

The previous prime is 108272275187. The next prime is 108272275213. The reversal of 108272275200 is 2572272801.

108272275200 is a `hidden beast` number, since 108 + 2 + 7 + 2 + 27 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108272275187) and next prime (108272275213).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 852537537 + ... + 852537663.

Almost surely, 2^108272275200 is an apocalyptic number.

108272275200 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 108272275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210901751424).

108272275200 is an abundant number, since it is smaller than the sum of its proper divisors (313531227648).

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

108272275200 is a wasteful number, since it uses less digits than its factorization.

108272275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 108272275200 in words is "one hundred eight billion, two hundred seventy-two million, two hundred seventy-five thousand, two hundred".