108945408 has 224 divisors, whose sum is σ = 352300032. Its totient is φ = 29491200.

The previous prime is 108945379. The next prime is 108945409. The reversal of 108945408 is 804549801.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108945409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514353 + ... + 3514383.

It is an arithmetic number, because the mean of its divisors is an integer number (1572768).

Almost surely, 2^108945408 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 108945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176150016).

108945408 is an abundant number, since it is smaller than the sum of its proper divisors (243354624).

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

108945408 is a wasteful number, since it uses less digits than its factorization.

108945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 108945408 is about 10437.6916988384. The cubic root of 108945408 is about 477.6058561215.

The spelling of 108945408 in words is "one hundred eight million, nine hundred forty-five thousand, four hundred eight".