108007 has 2 divisors, whose sum is σ = 108008. Its totient is φ = 108006.

The previous prime is 107999. The next prime is 108011. The reversal of 108007 is 700801.

It is a strong prime.

It is an emirp because it is prime and its reverse (700801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 108007 - 2³ = 107999 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54003 + 54004.

It is an arithmetic number, because the mean of its divisors is an integer number (54004).

2¹⁰⁸⁰⁰⁷ is an apocalyptic number.

108007 is a deficient number, since it is larger than the sum of its proper divisors (1).

108007 is an equidigital number, since it uses as much as digits as its factorization.

108007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 108007 is about 328.6441844914. The cubic root of 108007 is about 47.6230604079.

Adding to 108007 its reverse (700801), we get a palindrome (808808).

The spelling of 108007 in words is "one hundred eight thousand, seven".