108001 has 4 divisors (see below), whose sum is σ = 114372. Its totient is φ = 101632.

The previous prime is 107999. The next prime is 108007. The reversal of 108001 is 100801.

108001 = 39² + 40² + ... + 72².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 40401 = 260^2 + 201^2 .

It is a cyclic number.

It is not a de Polignac number, because 108001 - 2¹ = 107999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108007) 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, 3160 + ... + 3193.

It is an arithmetic number, because the mean of its divisors is an integer number (28593).

2¹⁰⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

108001 is a deficient number, since it is larger than the sum of its proper divisors (6371).

108001 is an equidigital number, since it uses as much as digits as its factorization.

108001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 108001 is about 328.6350559511. The cubic root of 108001 is about 47.6221785402.

Adding to 108001 its reverse (100801), we get a palindrome (208802).

It can be divided in two parts, 10800 and 1, that added together give a palindrome (10801).

The spelling of 108001 in words is "one hundred eight thousand, one".