165100 has 36 divisors (see below), whose sum is σ = 388864. Its totient is φ = 60480.

The previous prime is 165089. The next prime is 165103. The reversal of 165100 is 1561.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165103) by changing a digit.

165100 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, 1237 + ... + 1363.

2¹⁶⁵¹⁰⁰ is an apocalyptic number.

165100 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 165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194432).

165100 is an abundant number, since it is smaller than the sum of its proper divisors (223764).

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

165100 is a wasteful number, since it uses less digits than its factorization.

165100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 165100 is about 406.3249930782. The cubic root of 165100 is about 54.8591437039.

Adding to 165100 its reverse (1561), we get a palindrome (166661).

The spelling of 165100 in words is "one hundred sixty-five thousand, one hundred".