109272960 has 192 divisors, whose sum is σ = 384752160. Its totient is φ = 28569600.

The previous prime is 109272953. The next prime is 109272967. The reversal of 109272960 is 69272901.

It is an interprime number because it is at equal distance from previous prime (109272953) and next prime (109272967).

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 not an unprimeable number, because it can be changed into a prime (109272967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351205 + ... + 351515.

Almost surely, 2^109272960 is an apocalyptic number.

109272960 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 109272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192376080).

109272960 is an abundant number, since it is smaller than the sum of its proper divisors (275479200).

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

109272960 is a wasteful number, since it uses less digits than its factorization.

109272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109272960 is about 10453.3707482324. The cubic root of 109272960 is about 478.0840290408.

The spelling of 109272960 in words is "one hundred nine million, two hundred seventy-two thousand, nine hundred sixty".