110005668 has 48 divisors (see below), whose sum is σ = 300216000. Its totient is φ = 34737984.

The previous prime is 110005633. The next prime is 110005669. The reversal of 110005668 is 866500011.

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

It is not an unprimeable number, because it can be changed into a prime (110005669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24753 + ... + 28856.

It is an arithmetic number, because the mean of its divisors is an integer number (6254500).

Almost surely, 2^110005668 is an apocalyptic number.

110005668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110005668 is an abundant number, since it is smaller than the sum of its proper divisors (190210332).

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

110005668 is a wasteful number, since it uses less digits than its factorization.

110005668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53641 (or 53633 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 110005668 is about 10488.3586895186. The cubic root of 110005668 is about 479.1502151915.

Adding to 110005668 its reverse (866500011), we get a palindrome (976505679).

The spelling of 110005668 in words is "one hundred ten million, five thousand, six hundred sixty-eight".