105401 has 2 divisors, whose sum is σ = 105402. Its totient is φ = 105400.

The previous prime is 105397. The next prime is 105407. The reversal of 105401 is 104501.

105401 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 50176 = 235^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 105401 - 2² = 105397 is a prime.

It is a super-2 number, since 2×105401² = 22218741602, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52700 + 52701.

It is an arithmetic number, because the mean of its divisors is an integer number (52701).

2¹⁰⁵⁴⁰¹ is an apocalyptic number.

It is an amenable number.

105401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105401 is an equidigital number, since it uses as much as digits as its factorization.

105401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105401 is about 324.6552017141. The cubic root of 105401 is about 47.2369205047.

Adding to 105401 its reverse (104501), we get a palindrome (209902).

Subtracting from 105401 its reverse (104501), we obtain a square (900 = 30²).

The spelling of 105401 in words is "one hundred five thousand, four hundred one".