105208 has 8 divisors (see below), whose sum is σ = 197280. Its totient is φ = 52600.

The previous prime is 105199. The next prime is 105211. The reversal of 105208 is 802501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105208² = 22137446528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105191 and 105200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568 + ... + 6583.

It is an arithmetic number, because the mean of its divisors is an integer number (24660).

2¹⁰⁵²⁰⁸ is an apocalyptic number.

It is an amenable number.

105208 is a deficient number, since it is larger than the sum of its proper divisors (92072).

105208 is a wasteful number, since it uses less digits than its factorization.

105208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13157 (or 13153 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105208 is about 324.3578270984. The cubic root of 105208 is about 47.2080710128.

Adding to 105208 its reverse (802501), we get a palindrome (907709).

It can be divided in two parts, 105 and 208, that added together give a palindrome (313).

The spelling of 105208 in words is "one hundred five thousand, two hundred eight".