109216 has 12 divisors (see below), whose sum is σ = 215082. Its totient is φ = 54592.

The previous prime is 109211. The next prime is 109229. The reversal of 109216 is 612901.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 41616 = 260^2 + 204^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 109193 and 109202.

It is not an unprimeable number, because it can be changed into a prime (109211) by changing a digit.

109216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1675 + ... + 1738.

2¹⁰⁹²¹⁶ is an apocalyptic number.

109216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109216 is a deficient number, since it is larger than the sum of its proper divisors (105866).

109216 is an equidigital number, since it uses as much as digits as its factorization.

109216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 109216 is about 330.4784410518. The cubic root of 109216 is about 47.8000945360.

It can be divided in two parts, 109 and 216, that added together give a triangular number (325 = T₂₅).

The spelling of 109216 in words is "one hundred nine thousand, two hundred sixteen".