109780920 has 160 divisors (see below), whose sum is σ = 381237120. Its totient is φ = 28304640.

The previous prime is 109780919. The next prime is 109780927. The reversal of 109780920 is 29087901.

It is a happy number.

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 (109780927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99894 + ... + 100986.

It is an arithmetic number, because the mean of its divisors is an integer number (2382732).

Almost surely, 2^109780920 is an apocalyptic number.

109780920 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 109780920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190618560).

109780920 is an abundant number, since it is smaller than the sum of its proper divisors (271456200).

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

109780920 is a wasteful number, since it uses less digits than its factorization.

109780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 109780920 is about 10477.6390470373. The cubic root of 109780920 is about 478.8236820970.

The spelling of 109780920 in words is "one hundred nine million, seven hundred eighty thousand, nine hundred twenty".