109488960 has 168 divisors, whose sum is σ = 430475136. Its totient is φ = 25021440.

The previous prime is 109488923. The next prime is 109488979. The reversal of 109488960 is 69884901.

109488960 is a `hidden beast` number, since 109 + 488 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17445 + ... + 22875.

It is an arithmetic number, because the mean of its divisors is an integer number (2562352).

Almost surely, 2^109488960 is an apocalyptic number.

109488960 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 109488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215237568).

109488960 is an abundant number, since it is smaller than the sum of its proper divisors (320986176).

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

109488960 is a wasteful number, since it uses less digits than its factorization.

109488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 109488960 is about 10463.6972433266. The cubic root of 109488960 is about 478.3988314793.

The spelling of 109488960 in words is "one hundred nine million, four hundred eighty-eight thousand, nine hundred sixty".