105076 has 12 divisors (see below), whose sum is σ = 186340. Its totient is φ = 51840.

The previous prime is 105071. The next prime is 105097. The reversal of 105076 is 670501.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 28900 = 276^2 + 170^2 .

It is a super-2 number, since 2×105076² = 22081931552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316 + ... + 556.

2¹⁰⁵⁰⁷⁶ is an apocalyptic number.

It is an amenable number.

105076 is a deficient number, since it is larger than the sum of its proper divisors (81264).

105076 is a wasteful number, since it uses less digits than its factorization.

105076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 105076 is about 324.1542842537. The cubic root of 105076 is about 47.1883194308.

Adding to 105076 its reverse (670501), we get a palindrome (775577).

It can be divided in two parts, 1050 and 76, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 105076 in words is "one hundred five thousand, seventy-six".