109081728 has 224 divisors, whose sum is σ = 374592960. Its totient is φ = 30979584.

The previous prime is 109081727. The next prime is 109081733. The reversal of 109081728 is 827180901.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 109081692 and 109081701.

It is not an unprimeable number, because it can be changed into a prime (109081723) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 653101 + ... + 653267.

It is an arithmetic number, because the mean of its divisors is an integer number (1672290).

Almost surely, 2^109081728 is an apocalyptic number.

109081728 is a gapful number since it is divisible by the number (18) 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 109081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187296480).

109081728 is an abundant number, since it is smaller than the sum of its proper divisors (265511232).

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

109081728 is an frugal number, since it uses more digits than its factorization.

109081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 109081728 is about 10444.2198368284. The cubic root of 109081728 is about 477.8049775433.

The spelling of 109081728 in words is "one hundred nine million, eighty-one thousand, seven hundred twenty-eight".