109107072 has 96 divisors (see below), whose sum is σ = 320069880. Its totient is φ = 35662848.

The previous prime is 109107059. The next prime is 109107079. The reversal of 109107072 is 270701901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109107079) 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, 60163 + ... + 61949.

Almost surely, 2^109107072 is an apocalyptic number.

109107072 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 109107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160034940).

109107072 is an abundant number, since it is smaller than the sum of its proper divisors (210962808).

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

109107072 is a wasteful number, since it uses less digits than its factorization.

109107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 109107072 is about 10445.4330690498. The cubic root of 109107072 is about 477.8419790096.

Adding to 109107072 its reverse (270701901), we get a palindrome (379808973).

The spelling of 109107072 in words is "one hundred nine million, one hundred seven thousand, seventy-two".