164800110 has 48 divisors (see below), whose sum is σ = 417460176. Its totient is φ = 41630976.

The previous prime is 164800099. The next prime is 164800117. The reversal of 164800110 is 11008461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164800117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222 + ... + 18438.

It is an arithmetic number, because the mean of its divisors is an integer number (8697087).

Almost surely, 2^164800110 is an apocalyptic number.

164800110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164800110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208730088).

164800110 is an abundant number, since it is smaller than the sum of its proper divisors (252660066).

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

164800110 is a wasteful number, since it uses less digits than its factorization.

164800110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265 (or 15246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 164800110 is about 12837.4495130458. The cubic root of 164800110 is about 548.2590792818.

Adding to 164800110 its reverse (11008461), we get a palindrome (175808571).

The spelling of 164800110 in words is "one hundred sixty-four million, eight hundred thousand, one hundred ten".