108380160 has 360 divisors, whose sum is σ = 448252560. Its totient is φ = 24772608.

The previous prime is 108380143. The next prime is 108380197. The reversal of 108380160 is 61083801.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15482877 + ... + 15482883.

It is an arithmetic number, because the mean of its divisors is an integer number (1245146).

Almost surely, 2^108380160 is an apocalyptic number.

108380160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108380160 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224126280).

108380160 is an abundant number, since it is smaller than the sum of its proper divisors (339872400).

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

108380160 is an frugal number, since it uses more digits than its factorization.

108380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108380160 is about 10410.5792346055. The cubic root of 108380160 is about 476.7784264220.

The spelling of 108380160 in words is "one hundred eight million, three hundred eighty thousand, one hundred sixty".