109525680 has 120 divisors (see below), whose sum is σ = 401291280. Its totient is φ = 26549760.

The previous prime is 109525667. The next prime is 109525681. The reversal of 109525680 is 86525901.

It is a happy number.

109525680 is a `hidden beast` number, since 1 + 0 + 95 + 2 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109525681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (3344094).

Almost surely, 2^109525680 is an apocalyptic number.

109525680 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 109525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200645640).

109525680 is an abundant number, since it is smaller than the sum of its proper divisors (291765600).

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

109525680 is a wasteful number, since it uses less digits than its factorization.

109525680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13859 (or 13850 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 109525680 is about 10465.4517341584. The cubic root of 109525680 is about 478.4523067083.

The spelling of 109525680 in words is "one hundred nine million, five hundred twenty-five thousand, six hundred eighty".