109836 has 36 divisors (see below), whose sum is σ = 290472. Its totient is φ = 36288.

The previous prime is 109831. The next prime is 109841. The reversal of 109836 is 638901.

It is an interprime number because it is at equal distance from previous prime (109831) and next prime (109841).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (109831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916 + ... + 1028.

2¹⁰⁹⁸³⁶ 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 109836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145236).

109836 is an abundant number, since it is smaller than the sum of its proper divisors (180636).

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

109836 is a wasteful number, since it uses less digits than its factorization.

109836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109836 is about 331.4151475114. The cubic root of 109836 is about 47.8903748223.

The spelling of 109836 in words is "one hundred nine thousand, eight hundred thirty-six".