105200 has 30 divisors (see below), whose sum is σ = 253704. Its totient is φ = 41920.

The previous prime is 105199. The next prime is 105211. The reversal of 105200 is 2501.

It is a super-2 number, since 2×105200² = 22134080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269 + ... + 531.

2¹⁰⁵²⁰⁰ is an apocalyptic number.

105200 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 105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126852).

105200 is an abundant number, since it is smaller than the sum of its proper divisors (148504).

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

105200 is a wasteful number, since it uses less digits than its factorization.

105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 105200 is about 324.3454948045. The cubic root of 105200 is about 47.2068744177.

Adding to 105200 its reverse (2501), we get a palindrome (107701).

The spelling of 105200 in words is "one hundred five thousand, two hundred".