110864 has 30 divisors (see below), whose sum is σ = 238266. Its totient is φ = 49920.

The previous prime is 110863. The next prime is 110879. The reversal of 110864 is 468011.

It can be written as a sum of positive squares in 3 ways, for example, as 8464 + 102400 = 92^2 + 320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2684 + ... + 2724.

2¹¹⁰⁸⁶⁴ 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 110864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119133).

110864 is an abundant number, since it is smaller than the sum of its proper divisors (127402).

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

110864 is a wasteful number, since it uses less digits than its factorization.

110864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 110864 is about 332.9624603465. The cubic root of 110864 is about 48.0393196340.

Adding to 110864 its reverse (468011), we get a palindrome (578875).

It can be divided in two parts, 11086 and 4, that multiplied together give a palindrome (44344).

The spelling of 110864 in words is "one hundred ten thousand, eight hundred sixty-four".