110066000 has 80 divisors (see below), whose sum is σ = 290392128. Its totient is φ = 40016000.

The previous prime is 110065987. The next prime is 110066003. The reversal of 110066000 is 660011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×110066000² = 24229048712000000, which contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110066003) 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, 19499 + ... + 24501.

Almost surely, 2^110066000 is an apocalyptic number.

110066000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145196064).

110066000 is an abundant number, since it is smaller than the sum of its proper divisors (180326128).

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

110066000 is a wasteful number, since it uses less digits than its factorization.

110066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 110066000 is about 10491.2344364236. The cubic root of 110066000 is about 479.2377949441.

It can be divided in two parts, 1 and 10066000, that added together give a palindrome (10066001).

The spelling of 110066000 in words is "one hundred ten million, sixty-six thousand".