110496 has 24 divisors (see below), whose sum is σ = 290304. Its totient is φ = 36800.

The previous prime is 110491. The next prime is 110501. The reversal of 110496 is 694011.

It is an interprime number because it is at equal distance from previous prime (110491) and next prime (110501).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110496.

It is not an unprimeable number, because it can be changed into a prime (110491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2¹¹⁰⁴⁹⁶ is an apocalyptic number.

110496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110496 is an abundant number, since it is smaller than the sum of its proper divisors (179808).

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

110496 is a wasteful number, since it uses less digits than its factorization.

110496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

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

The square root of 110496 is about 332.4093861491. The cubic root of 110496 is about 47.9861070904.

It can be divided in two parts, 110 and 496, that added together give a palindrome (606).

The spelling of 110496 in words is "one hundred ten thousand, four hundred ninety-six".