109388160 has 192 divisors, whose sum is σ = 431851680. Its totient is φ = 24993792.

The previous prime is 109388143. The next prime is 109388171. The reversal of 109388160 is 61883901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38964 + ... + 41676.

Almost surely, 2^109388160 is an apocalyptic number.

109388160 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 109388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215925840).

109388160 is an abundant number, since it is smaller than the sum of its proper divisors (322463520).

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

109388160 is a wasteful number, since it uses less digits than its factorization.

109388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109388160 is about 10458.8794810917. The cubic root of 109388160 is about 478.2519752472.

It can be divided in two parts, 1093 and 88160, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 109388160 in words is "one hundred nine million, three hundred eighty-eight thousand, one hundred sixty".