104801 has 2 divisors, whose sum is σ = 104802. Its totient is φ = 104800.

The previous prime is 104789. The next prime is 104803. The reversal of 104801 is 108401.

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., 102400 + 2401 = 320^2 + 49^2 .

It is an emirp because it is prime and its reverse (108401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-104801 is a prime.

Together with 104803, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52400 + 52401.

It is an arithmetic number, because the mean of its divisors is an integer number (52401).

2¹⁰⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

104801 is a deficient number, since it is larger than the sum of its proper divisors (1).

104801 is an equidigital number, since it uses as much as digits as its factorization.

104801 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 104801 is about 323.7298256262. The cubic root of 104801 is about 47.1471171103.

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

The spelling of 104801 in words is "one hundred four thousand, eight hundred one".