105750 has 48 divisors (see below), whose sum is σ = 292032. Its totient is φ = 27600.

The previous prime is 105733. The next prime is 105751. The reversal of 105750 is 57501.

It is a happy number.

It is a super-2 number, since 2×105750² = 22366125000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (6084).

105750 is a Friedman number, since it can be written as 705*150, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 150 ⋅ 705 (with its own digits).

2¹⁰⁵⁷⁵⁰ is an apocalyptic number.

105750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016).

105750 is an abundant number, since it is smaller than the sum of its proper divisors (186282).

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

105750 is a wasteful number, since it uses less digits than its factorization.

105750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 105750 is about 325.1922508302. The cubic root of 105750 is about 47.2889994636.

The spelling of 105750 in words is "one hundred five thousand, seven hundred fifty".