105876 has 36 divisors (see below), whose sum is σ = 285012. Its totient is φ = 33024.

The previous prime is 105871. The next prime is 105883. The reversal of 105876 is 678501.

105876 = T₁₀₃ + T₁₀₄ + ... + T₁₁₉.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 15876 = 300^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105876² = 22419454752, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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 105876.

It is not an unprimeable number, because it can be changed into a prime (105871) by changing a digit.

105876 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, 526 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (7917).

2¹⁰⁵⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142506).

105876 is an abundant number, since it is smaller than the sum of its proper divisors (179136).

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

105876 is a wasteful number, since it uses less digits than its factorization.

105876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105876 is about 325.3859247109. The cubic root of 105876 is about 47.3077734558.

Subtracting from 105876 its product of nonzero digits (1680), we obtain a triangular number (104196 = T₄₅₆).

It can be divided in two parts, 1058 and 76, that multiplied together give a palindrome (80408).

The spelling of 105876 in words is "one hundred five thousand, eight hundred seventy-six".