108488160 has 240 divisors, whose sum is σ = 418228272. Its totient is φ = 26265600.

The previous prime is 108488137. The next prime is 108488161. The reversal of 108488160 is 61884801.

108488160 is a `hidden beast` number, since 10 + 8 + 488 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108488161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142180 + ... + 142940.

Almost surely, 2^108488160 is an apocalyptic number.

108488160 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 108488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209114136).

108488160 is an abundant number, since it is smaller than the sum of its proper divisors (309740112).

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

108488160 is a wasteful number, since it uses less digits than its factorization.

108488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 108488160 is about 10415.7649743070. The cubic root of 108488160 is about 476.9367425311.

The spelling of 108488160 in words is "one hundred eight million, four hundred eighty-eight thousand, one hundred sixty".