109633680 has 360 divisors, whose sum is σ = 430104168. Its totient is φ = 24920064.

The previous prime is 109633679. The next prime is 109633747. The reversal of 109633680 is 86336901.

It is a happy number.

109633680 is a `hidden beast` number, since 10 + 9 + 633 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 34152336 + 75481344 = 5844^2 + 8688^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068534 + ... + 2068586.

Almost surely, 2^109633680 is an apocalyptic number.

109633680 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 109633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215052084).

109633680 is an abundant number, since it is smaller than the sum of its proper divisors (320470488).

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

109633680 is a wasteful number, since it uses less digits than its factorization.

109633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 109633680 is about 10470.6102973991. The cubic root of 109633680 is about 478.6095175532.

The spelling of 109633680 in words is "one hundred nine million, six hundred thirty-three thousand, six hundred eighty".