108037 has 2 divisors, whose sum is σ = 108038. Its totient is φ = 108036.

The previous prime is 108023. The next prime is 108041. The reversal of 108037 is 730801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73441 + 34596 = 271^2 + 186^2 .

It is a cyclic number.

It is not a de Polignac number, because 108037 - 2¹⁵ = 75269 is a prime.

It is a Chen prime.

It is equal to p₁₀₂₇₉ and since 108037 and 10279 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108007) 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, 54018 + 54019.

It is an arithmetic number, because the mean of its divisors is an integer number (54019).

2¹⁰⁸⁰³⁷ is an apocalyptic number.

It is an amenable number.

108037 is a deficient number, since it is larger than the sum of its proper divisors (1).

108037 is an equidigital number, since it uses as much as digits as its factorization.

108037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 108037 is about 328.6898233898. The cubic root of 108037 is about 47.6274692565.

Adding to 108037 its reverse (730801), we get a palindrome (838838).

The spelling of 108037 in words is "one hundred eight thousand, thirty-seven".