110006800 has 60 divisors (see below), whose sum is σ = 269329860. Its totient is φ = 43164160.

The previous prime is 110006797. The next prime is 110006803. The reversal of 110006800 is 8600011.

It is an interprime number because it is at equal distance from previous prime (110006797) and next prime (110006803).

It can be written as a sum of positive squares in 6 ways, for example, as 1763584 + 108243216 = 1328^2 + 10404^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (110006803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18606 + ... + 23794.

It is an arithmetic number, because the mean of its divisors is an integer number (4488831).

Almost surely, 2^110006800 is an apocalyptic number.

110006800 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 110006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134664930).

110006800 is an abundant number, since it is smaller than the sum of its proper divisors (159323060).

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

110006800 is a wasteful number, since it uses less digits than its factorization.

110006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 110006800 is about 10488.4126539720. The cubic root of 110006800 is about 479.1518587316.

Adding to 110006800 its reverse (8600011), we get a palindrome (118606811).

The spelling of 110006800 in words is "one hundred ten million, six thousand, eight hundred".