109633920 has 256 divisors, whose sum is σ = 396576000. Its totient is φ = 25518080.

The previous prime is 109633913. The next prime is 109633967. The reversal of 109633920 is 29336901.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612391 + ... + 612569.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 2^109633920 is an apocalyptic number.

109633920 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 109633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

109633920 is an abundant number, since it is smaller than the sum of its proper divisors (286942080).

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

109633920 is a wasteful number, since it uses less digits than its factorization.

109633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 109633920 is about 10470.6217580428. The cubic root of 109633920 is about 478.6098667956.

The spelling of 109633920 in words is "one hundred nine million, six hundred thirty-three thousand, nine hundred twenty".