109257120 has 192 divisors, whose sum is σ = 437149440. Its totient is φ = 24966144.

The previous prime is 109257119. The next prime is 109257139. The reversal of 109257120 is 21752901.

109257120 is a `hidden beast` number, since 1 + 0 + 92 + 571 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28434 + ... + 32046.

It is an arithmetic number, because the mean of its divisors is an integer number (2276820).

Almost surely, 2^109257120 is an apocalyptic number.

109257120 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 109257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218574720).

109257120 is an abundant number, since it is smaller than the sum of its proper divisors (327892320).

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

109257120 is a wasteful number, since it uses less digits than its factorization.

109257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 109257120 is about 10452.6130704241. The cubic root of 109257120 is about 478.0609272080.

The spelling of 109257120 in words is "one hundred nine million, two hundred fifty-seven thousand, one hundred twenty".