108756 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 33696.

The previous prime is 108751. The next prime is 108761. The reversal of 108756 is 657801.

It is an interprime number because it is at equal distance from previous prime (108751) and next prime (108761).

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

It is a plaindrome in base 15.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹⁰⁸⁷⁵⁶ 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 108756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

108756 is an abundant number, since it is smaller than the sum of its proper divisors (193644).

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

108756 is a wasteful number, since it uses less digits than its factorization.

108756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 108756 is about 329.7817460079. The cubic root of 108756 is about 47.7328913608.

The spelling of 108756 in words is "one hundred eight thousand, seven hundred fifty-six".