109018728 has 144 divisors (see below), whose sum is σ = 370040580. Its totient is φ = 28740096.

The previous prime is 109018699. The next prime is 109018747. The reversal of 109018728 is 827810901.

It can be written as a sum of positive squares in 2 ways, for example, as 102454884 + 6563844 = 10122^2 + 2562^2 .

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 = 109018692 and 109018701.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44676 + ... + 47052.

Almost surely, 2^109018728 is an apocalyptic number.

109018728 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 109018728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185020290).

109018728 is an abundant number, since it is smaller than the sum of its proper divisors (261021852).

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

109018728 is a wasteful number, since it uses less digits than its factorization.

109018728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2402 counting only the distinct ones).

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

The square root of 109018728 is about 10441.2033789214. The cubic root of 109018728 is about 477.7129746293.

It can be divided in two parts, 109018 and 728, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 109018728 in words is "one hundred nine million, eighteen thousand, seven hundred twenty-eight".