108137 has 4 divisors (see below), whose sum is σ = 114516. Its totient is φ = 101760.

The previous prime is 108131. The next prime is 108139. The reversal of 108137 is 731801.

108137 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 731801 = 7 ⋅104543.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 52441 = 236^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 108137 - 2⁸ = 107881 is a prime.

It is a super-2 number, since 2×108137² = 23387221538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3164 + ... + 3197.

It is an arithmetic number, because the mean of its divisors is an integer number (28629).

2¹⁰⁸¹³⁷ is an apocalyptic number.

108137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

108137 is a deficient number, since it is larger than the sum of its proper divisors (6379).

108137 is an equidigital number, since it uses as much as digits as its factorization.

108137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 108137 is about 328.8419073050. The cubic root of 108137 is about 47.6421595269.

Adding to 108137 its reverse (731801), we get a palindrome (839938).

The spelling of 108137 in words is "one hundred eight thousand, one hundred thirty-seven".