109125216 has 72 divisors (see below), whose sum is σ = 312530400. Its totient is φ = 36116736.

The previous prime is 109125209. The next prime is 109125217. The reversal of 109125216 is 612521901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 109125216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109125217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41641 + ... + 44183.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 2^109125216 is an apocalyptic number.

109125216 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 109125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156265200).

109125216 is an abundant number, since it is smaller than the sum of its proper divisors (203405184).

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

109125216 is a wasteful number, since it uses less digits than its factorization.

109125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 109125216 is about 10446.3015464805. The cubic root of 109125216 is about 477.8684651763.

The spelling of 109125216 in words is "one hundred nine million, one hundred twenty-five thousand, two hundred sixteen".