100164 has 24 divisors (see below), whose sum is σ = 247968. Its totient is φ = 31360.

The previous prime is 100153. The next prime is 100169. The reversal of 100164 is 461001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (100169) by changing a digit.

100164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (10332).

2¹⁰⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984).

100164 is an abundant number, since it is smaller than the sum of its proper divisors (147804).

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

100164 is a wasteful number, since it uses less digits than its factorization.

100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100164 is about 316.4869665563. The cubic root of 100164 is about 46.4412484966.

Adding to 100164 its reverse (461001), we get a palindrome (561165).

The spelling of 100164 in words is "one hundred thousand, one hundred sixty-four".