107208 has 24 divisors (see below), whose sum is σ = 290550. Its totient is φ = 35712.

The previous prime is 107201. The next prime is 107209. The reversal of 107208 is 802701.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 6084 = 318^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×107208² = 22987110528, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107208.

It is not an unprimeable number, because it can be changed into a prime (107201) 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 in 5 ways as a sum of consecutive naturals, for example, 673 + ... + 816.

2¹⁰⁷²⁰⁸ is an apocalyptic number.

107208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107208 is an abundant number, since it is smaller than the sum of its proper divisors (183342).

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

107208 is a wasteful number, since it uses less digits than its factorization.

107208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107208 is about 327.4263275914. The cubic root of 107208 is about 47.5053364272.

Adding to 107208 its reverse (802701), we get a palindrome (909909).

The spelling of 107208 in words is "one hundred seven thousand, two hundred eight".