109337220 has 72 divisors (see below), whose sum is σ = 340640664. Its totient is φ = 28366848.

The previous prime is 109337219. The next prime is 109337227. The reversal of 109337220 is 22733901.

109337220 is a `hidden beast` number, since 109 + 337 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18096516 + 91240704 = 4254^2 + 9552^2 .

It is not an unprimeable number, because it can be changed into a prime (109337227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549 + ... + 14868.

Almost surely, 2^109337220 is an apocalyptic number.

109337220 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 109337220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170320332).

109337220 is an abundant number, since it is smaller than the sum of its proper divisors (231303444).

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

109337220 is a wasteful number, since it uses less digits than its factorization.

109337220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16469 (or 16464 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 109337220 is about 10456.4439461989. The cubic root of 109337220 is about 478.1777260833.

The spelling of 109337220 in words is "one hundred nine million, three hundred thirty-seven thousand, two hundred twenty".