109416 has 32 divisors (see below), whose sum is σ = 282240. Its totient is φ = 35328.

The previous prime is 109397. The next prime is 109423. The reversal of 109416 is 614901.

It is a super-2 number, since 2×109416² = 23943722112, which contains 22 as substring.

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 = 109392 and 109401.

It is a congruent number.

It is an unprimeable number.

109416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁰⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

109416 is an abundant number, since it is smaller than the sum of its proper divisors (172824).

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

109416 is a wasteful number, since it uses less digits than its factorization.

109416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 109416 is about 330.7808942487. The cubic root of 109416 is about 47.8292544554.

It can be divided in two parts, 109 and 416, that added together give a palindrome (525).

The spelling of 109416 in words is "one hundred nine thousand, four hundred sixteen".