164101 has 12 divisors (see below), whose sum is σ = 203148. Its totient is φ = 131712.

The previous prime is 164093. The next prime is 164113. The reversal of 164101 is 101461.

It can be written as a sum of positive squares in 2 ways, for example, as 148225 + 15876 = 385^2 + 126^2 .

It is not a de Polignac number, because 164101 - 2³ = 164093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (16929).

2¹⁶⁴¹⁰¹ is an apocalyptic number.

It is an amenable number.

164101 is a deficient number, since it is larger than the sum of its proper divisors (39047).

164101 is a wasteful number, since it uses less digits than its factorization.

164101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 164101 is about 405.0938162944. The cubic root of 164101 is about 54.7482711102.

Adding to 164101 its reverse (101461), we get a palindrome (265562).

The spelling of 164101 in words is "one hundred sixty-four thousand, one hundred one".