108334720 has 128 divisors (see below), whose sum is σ = 289170000. Its totient is φ = 38535168.

The previous prime is 108334717. The next prime is 108334729. The reversal of 108334720 is 27433801.

It can be written as a sum of positive squares in 8 ways, for example, as 33269824 + 75064896 = 5768^2 + 8664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (108334729) 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, 241056 + ... + 241504.

Almost surely, 2^108334720 is an apocalyptic number.

108334720 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 108334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144585000).

108334720 is an abundant number, since it is smaller than the sum of its proper divisors (180835280).

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

108334720 is a wasteful number, since it uses less digits than its factorization.

108334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 108334720 is about 10408.3966104295. The cubic root of 108334720 is about 476.7117849501.

The spelling of 108334720 in words is "one hundred eight million, three hundred thirty-four thousand, seven hundred twenty".