165103200 has 216 divisors, whose sum is σ = 608117328. Its totient is φ = 42071040.

The previous prime is 165103199. The next prime is 165103207. The reversal of 165103200 is 2301561.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165103207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 165102 + ... + 166098.

It is an arithmetic number, because the mean of its divisors is an integer number (2815358).

Almost surely, 2^165103200 is an apocalyptic number.

165103200 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 165103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304058664).

165103200 is an abundant number, since it is smaller than the sum of its proper divisors (443014128).

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

165103200 is a wasteful number, since it uses less digits than its factorization.

165103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 165103200 is about 12849.2490052921. The cubic root of 165103200 is about 548.5949813176.

Adding to 165103200 its reverse (2301561), we get a palindrome (167404761).

The spelling of 165103200 in words is "one hundred sixty-five million, one hundred three thousand, two hundred".