164100 has 36 divisors (see below), whose sum is σ = 475664. Its totient is φ = 43680.

The previous prime is 164093. The next prime is 164113. The reversal of 164100 is 1461.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164100.

It is an unprimeable number.

164100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27 + ... + 573.

2¹⁶⁴¹⁰⁰ is an apocalyptic number.

164100 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 164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237832).

164100 is an abundant number, since it is smaller than the sum of its proper divisors (311564).

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

164100 is a wasteful number, since it uses less digits than its factorization.

164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

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

The square root of 164100 is about 405.0925820106. The cubic root of 164100 is about 54.7481599015.

Adding to 164100 its reverse (1461), we get a palindrome (165561).

The spelling of 164100 in words is "one hundred sixty-four thousand, one hundred".