109738720 has 96 divisors (see below), whose sum is σ = 319128768. Its totient is φ = 34725888.

The previous prime is 109738711. The next prime is 109738721. The reversal of 109738720 is 27837901.

It is a self number, because there is not a number n which added to its sum of digits gives 109738720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109738721) 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 15 ways as a sum of consecutive naturals, for example, 10792 + ... + 18328.

It is an arithmetic number, because the mean of its divisors is an integer number (3324258).

Almost surely, 2^109738720 is an apocalyptic number.

109738720 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 109738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159564384).

109738720 is an abundant number, since it is smaller than the sum of its proper divisors (209390048).

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

109738720 is a wasteful number, since it uses less digits than its factorization.

109738720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 109738720 is about 10475.6250410178. The cubic root of 109738720 is about 478.7623206477.

The spelling of 109738720 in words is "one hundred nine million, seven hundred thirty-eight thousand, seven hundred twenty".