105000 has 80 divisors (see below), whose sum is σ = 374880. Its totient is φ = 24000.

The previous prime is 104999. The next prime is 105019. The reversal of 105000 is 501.

It is a super-2 number, since 2×105000² = 22050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 105000.

It is an unprimeable 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 19 ways as a sum of consecutive naturals, for example, 14997 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (4686).

2¹⁰⁵⁰⁰⁰ is an apocalyptic number.

105000 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 105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187440).

105000 is an abundant number, since it is smaller than the sum of its proper divisors (269880).

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

105000 is an equidigital number, since it uses as much as digits as its factorization.

105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 105000 is about 324.0370349204. The cubic root of 105000 is about 47.1769398032.

Adding to 105000 its reverse (501), we get a palindrome (105501).

The spelling of 105000 in words is "one hundred five thousand".