108683648 has 128 divisors (see below), whose sum is σ = 249696000. Its totient is φ = 46835712.

The previous prime is 108683647. The next prime is 108683657. The reversal of 108683648 is 846386801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 108683599 and 108683608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108683647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622111 + ... + 1622177.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^108683648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124848000).

108683648 is an abundant number, since it is smaller than the sum of its proper divisors (141012352).

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

108683648 is a wasteful number, since it uses less digits than its factorization.

108683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 108683648 is about 10425.1449870014. The cubic root of 108683648 is about 477.2230394097.

The spelling of 108683648 in words is "one hundred eight million, six hundred eighty-three thousand, six hundred forty-eight".