109213920 has 216 divisors, whose sum is σ = 393925896. Its totient is φ = 28574208.

The previous prime is 109213901. The next prime is 109213927. The reversal of 109213920 is 29312901.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109213927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2060614 + ... + 2060666.

It is an arithmetic number, because the mean of its divisors is an integer number (1823731).

Almost surely, 2^109213920 is an apocalyptic number.

109213920 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 109213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196962948).

109213920 is an abundant number, since it is smaller than the sum of its proper divisors (284711976).

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

109213920 is an frugal number, since it uses more digits than its factorization.

109213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109213920 is about 10450.5463971986. The cubic root of 109213920 is about 477.9979108584.

It can be divided in two parts, 10921 and 3920, that added together give a palindrome (14841).

The spelling of 109213920 in words is "one hundred nine million, two hundred thirteen thousand, nine hundred twenty".