10909272 has 96 divisors (see below), whose sum is σ = 31458240. Its totient is φ = 3124800.

The previous prime is 10909259. The next prime is 10909289. The reversal of 10909272 is 27290901.

10909272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253683 + ... + 253725.

It is an arithmetic number, because the mean of its divisors is an integer number (327690).

Almost surely, 2^10909272 is an apocalyptic number.

10909272 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 10909272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729120).

10909272 is an abundant number, since it is smaller than the sum of its proper divisors (20548968).

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

10909272 is a wasteful number, since it uses less digits than its factorization.

10909272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 10909272 is about 3302.9187092631. The cubic root of 10909272 is about 221.7848739821.

The spelling of 10909272 in words is "ten million, nine hundred nine thousand, two hundred seventy-two".