105104 has 10 divisors (see below), whose sum is σ = 203670. Its totient is φ = 52544.

The previous prime is 105097. The next prime is 105107. The reversal of 105104 is 401501.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 2704 = 320^2 + 52^2 .

It is a super-2 number, since 2×105104² = 22093701632, which contains 22 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (105107) by changing a digit.

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 as a sum of consecutive naturals, namely, 3269 + ... + 3300.

It is an arithmetic number, because the mean of its divisors is an integer number (20367).

2¹⁰⁵¹⁰⁴ is an apocalyptic number.

It is an amenable number.

105104 is a deficient number, since it is larger than the sum of its proper divisors (98566).

105104 is an equidigital number, since it uses as much as digits as its factorization.

105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105104 is about 324.1974706872. The cubic root of 105104 is about 47.1925105420.

Adding to 105104 its reverse (401501), we get a palindrome (506605).

It can be divided in two parts, 10 and 5104, that multiplied together give a triangular number (51040 = T₃₁₉).

The spelling of 105104 in words is "one hundred five thousand, one hundred four".