108416 has 48 divisors (see below), whose sum is σ = 271320. Its totient is φ = 42240.

The previous prime is 108413. The next prime is 108421. The reversal of 108416 is 614801.

108416 = T₆₄ + T₆₅ + ... + T₉₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9851 + ... + 9861.

2¹⁰⁸⁴¹⁶ is an apocalyptic number.

108416 is a gapful number since it is divisible by the number (16) 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 108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135660).

108416 is an abundant number, since it is smaller than the sum of its proper divisors (162904).

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

108416 is an equidigital number, since it uses as much as digits as its factorization.

108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 108416 is about 329.2658500361. The cubic root of 108416 is about 47.6830975571.

The spelling of 108416 in words is "one hundred eight thousand, four hundred sixteen".