108680544 has 288 divisors, whose sum is σ = 382427136. Its totient is φ = 28615680.

The previous prime is 108680519. The next prime is 108680549. The reversal of 108680544 is 445086801.

108680544 is a `hidden beast` number, since 108 + 6 + 8 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×108680544² = 23622921288271872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 108680499 and 108680508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108680549) 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 47 ways as a sum of consecutive naturals, for example, 2312329 + ... + 2312375.

It is an arithmetic number, because the mean of its divisors is an integer number (1327872).

Almost surely, 2^108680544 is an apocalyptic number.

108680544 is a gapful number since it is divisible by the number (14) 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 108680544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

108680544 is an abundant number, since it is smaller than the sum of its proper divisors (273746592).

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

108680544 is a wasteful number, since it uses less digits than its factorization.

108680544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108680544 is about 10424.9961151072. The cubic root of 108680544 is about 477.2184962104.

The spelling of 108680544 in words is "one hundred eight million, six hundred eighty thousand, five hundred forty-four".