108416616 has 288 divisors, whose sum is σ = 377978400. Its totient is φ = 25589760.

The previous prime is 108416591. The next prime is 108416621. The reversal of 108416616 is 616614801.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3738490 + ... + 3738518.

It is an arithmetic number, because the mean of its divisors is an integer number (1312425).

Almost surely, 2^108416616 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 108416616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188989200).

108416616 is an abundant number, since it is smaller than the sum of its proper divisors (269561784).

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

108416616 is a wasteful number, since it uses less digits than its factorization.

108416616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 108416616 is about 10412.3299986122. The cubic root of 108416616 is about 476.8318786585.

The spelling of 108416616 in words is "one hundred eight million, four hundred sixteen thousand, six hundred sixteen".