109294272 has 140 divisors (see below), whose sum is σ = 335615280. Its totient is φ = 35126784.

The previous prime is 109294259. The next prime is 109294277. The reversal of 109294272 is 272492901.

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

It is not an unprimeable number, because it can be changed into a prime (109294277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149973 + ... + 150699.

It is an arithmetic number, because the mean of its divisors is an integer number (2397252).

Almost surely, 2^109294272 is an apocalyptic number.

109294272 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 109294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167807640).

109294272 is an abundant number, since it is smaller than the sum of its proper divisors (226321008).

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

109294272 is an equidigital number, since it uses as much as digits as its factorization.

109294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109294272 is about 10454.3900826399. The cubic root of 109294272 is about 478.1151079845.

The spelling of 109294272 in words is "one hundred nine million, two hundred ninety-four thousand, two hundred seventy-two".