109536480 has 288 divisors, whose sum is σ = 402161760. Its totient is φ = 27095040.

The previous prime is 109536473. The next prime is 109536481. The reversal of 109536480 is 84635901.

109536480 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (109536481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795650 + ... + 1795710.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^109536480 is an apocalyptic number.

109536480 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 109536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

109536480 is an abundant number, since it is smaller than the sum of its proper divisors (292625280).

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

109536480 is a wasteful number, since it uses less digits than its factorization.

109536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 109536480 is about 10465.9677048995. The cubic root of 109536480 is about 478.4680324421.

The spelling of 109536480 in words is "one hundred nine million, five hundred thirty-six thousand, four hundred eighty".