105700 has 36 divisors (see below), whose sum is σ = 263872. Its totient is φ = 36000.

The previous prime is 105691. The next prime is 105701. The reversal of 105700 is 7501.

It is a super-2 number, since 2×105700² = 22344980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105701) by changing a digit.

105700 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, 625 + ... + 775.

2¹⁰⁵⁷⁰⁰ is an apocalyptic number.

105700 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 105700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131936).

105700 is an abundant number, since it is smaller than the sum of its proper divisors (158172).

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

105700 is a wasteful number, since it uses less digits than its factorization.

105700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 105700 is about 325.1153641402. The cubic root of 105700 is about 47.2815453337.

The spelling of 105700 in words is "one hundred five thousand, seven hundred".