109827072 has 132 divisors (see below), whose sum is σ = 336256596. Its totient is φ = 34406400.

The previous prime is 109827071. The next prime is 109827103. The reversal of 109827072 is 270728901.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 19501056 = 9504^2 + 4416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109827071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156322 + ... + 157022.

Almost surely, 2^109827072 is an apocalyptic number.

109827072 is a gapful number since it is divisible by the number (12) 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 109827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168128298).

109827072 is an abundant number, since it is smaller than the sum of its proper divisors (226429524).

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

109827072 is a wasteful number, since it uses less digits than its factorization.

109827072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 109827072 is about 10479.8412201712. The cubic root of 109827072 is about 478.8907720021.

The spelling of 109827072 in words is "one hundred nine million, eight hundred twenty-seven thousand, seventy-two".