109942272 has 200 divisors, whose sum is σ = 359465832. Its totient is φ = 33177600.

The previous prime is 109942253. The next prime is 109942289. The reversal of 109942272 is 272249901.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456072 + ... + 456312.

Almost surely, 2^109942272 is an apocalyptic number.

109942272 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 109942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179732916).

109942272 is an abundant number, since it is smaller than the sum of its proper divisors (249523560).

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

109942272 is an equidigital number, since it uses as much as digits as its factorization.

109942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

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

The square root of 109942272 is about 10485.3360461170. The cubic root of 109942272 is about 479.0581531348.

The spelling of 109942272 in words is "one hundred nine million, nine hundred forty-two thousand, two hundred seventy-two".