164044100 has 144 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 54979200.

The previous prime is 164044093. The next prime is 164044163. The reversal of 164044100 is 1440461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 982217 + ... + 982383.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2^164044100 is an apocalyptic number.

164044100 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 164044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

164044100 is an abundant number, since it is smaller than the sum of its proper divisors (255929020).

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

164044100 is a wasteful number, since it uses less digits than its factorization.

164044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 164044100 is about 12807.9701748560. The cubic root of 164044100 is about 547.4194261584.

Adding to 164044100 its reverse (1440461), we get a palindrome (165484561).

The spelling of 164044100 in words is "one hundred sixty-four million, forty-four thousand, one hundred".