109313120 has 144 divisors (see below), whose sum is σ = 306125568. Its totient is φ = 36771840.

The previous prime is 109313119. The next prime is 109313123. The reversal of 109313120 is 21313901.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 109313092 and 109313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109313123) 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 23 ways as a sum of consecutive naturals, for example, 572225 + ... + 572415.

It is an arithmetic number, because the mean of its divisors is an integer number (2125872).

Almost surely, 2^109313120 is an apocalyptic number.

109313120 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 109313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062784).

109313120 is an abundant number, since it is smaller than the sum of its proper divisors (196812448).

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

109313120 is a wasteful number, since it uses less digits than its factorization.

109313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 109313120 is about 10455.2914832634. The cubic root of 109313120 is about 478.1425903506.

The spelling of 109313120 in words is "one hundred nine million, three hundred thirteen thousand, one hundred twenty".