108906720 has 192 divisors, whose sum is σ = 382040064. Its totient is φ = 25896960.

The previous prime is 108906713. The next prime is 108906731. The reversal of 108906720 is 27609801.

It is a super-3 number, since 3×108906720³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193159 + ... + 193721.

It is an arithmetic number, because the mean of its divisors is an integer number (1989792).

Almost surely, 2^108906720 is an apocalyptic number.

108906720 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 108906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191020032).

108906720 is an abundant number, since it is smaller than the sum of its proper divisors (273133344).

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

108906720 is a wasteful number, since it uses less digits than its factorization.

108906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 108906720 is about 10435.8382509504. The cubic root of 108906720 is about 477.5493146440.

The spelling of 108906720 in words is "one hundred eight million, nine hundred six thousand, seven hundred twenty".