109956 has 72 divisors (see below), whose sum is σ = 344736. Its totient is φ = 26880.

The previous prime is 109943. The next prime is 109961. The reversal of 109956 is 659901.

It is a congruent number.

It is an unprimeable number.

109956 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 23 ways as a sum of consecutive naturals, for example, 6460 + ... + 6476.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2¹⁰⁹⁹⁵⁶ 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 109956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

109956 is an abundant number, since it is smaller than the sum of its proper divisors (234780).

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

109956 is a wasteful number, since it uses less digits than its factorization.

109956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 109956 is about 331.5961399052. The cubic root of 109956 is about 47.9078091588.

Subtracting 109956 from its reverse (659901), we obtain a palindrome (549945).

The spelling of 109956 in words is "one hundred nine thousand, nine hundred fifty-six".