109873920 has 288 divisors, whose sum is σ = 395587584. Its totient is φ = 25804800.

The previous prime is 109873919. The next prime is 109873927. The reversal of 109873920 is 29378901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (109873927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547485 + ... + 1547555.

It is an arithmetic number, because the mean of its divisors is an integer number (1373568).

Almost surely, 2^109873920 is an apocalyptic number.

109873920 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 109873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197793792).

109873920 is an abundant number, since it is smaller than the sum of its proper divisors (285713664).

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

109873920 is a wasteful number, since it uses less digits than its factorization.

109873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 109873920 is about 10482.0761302330. The cubic root of 109873920 is about 478.9588544438.

The spelling of 109873920 in words is "one hundred nine million, eight hundred seventy-three thousand, nine hundred twenty".