108103680 has 384 divisors, whose sum is σ = 424569600. Its totient is φ = 25952256.

The previous prime is 108103669. The next prime is 108103717. The reversal of 108103680 is 86301801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700149 + ... + 4700171.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^108103680 is an apocalyptic number.

108103680 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 108103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

108103680 is an abundant number, since it is smaller than the sum of its proper divisors (316465920).

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

108103680 is a wasteful number, since it uses less digits than its factorization.

108103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

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

The square root of 108103680 is about 10397.2919551199. The cubic root of 108103680 is about 476.3726573525.

The spelling of 108103680 in words is "one hundred eight million, one hundred three thousand, six hundred eighty".