108401 has 2 divisors, whose sum is σ = 108402. Its totient is φ = 108400.

The previous prime is 108379. The next prime is 108413. The reversal of 108401 is 104801.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 15376 = 305^2 + 124^2 .

It is an emirp because it is prime and its reverse (104801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 108401 - 2¹⁰ = 107377 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108401.

It is not a weakly prime, because it can be changed into another prime (108421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54200 + 54201.

It is an arithmetic number, because the mean of its divisors is an integer number (54201).

2¹⁰⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

108401 is a deficient number, since it is larger than the sum of its proper divisors (1).

108401 is an equidigital number, since it uses as much as digits as its factorization.

108401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 108401 is about 329.2430713014. The cubic root of 108401 is about 47.6808983754.

Subtracting from 108401 its reverse (104801), we obtain a square (3600 = 60²).

The spelling of 108401 in words is "one hundred eight thousand, four hundred one".