105600401 has 2 divisors, whose sum is σ = 105600402. Its totient is φ = 105600400.

The previous prime is 105600371. The next prime is 105600409. The reversal of 105600401 is 104006501.

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., 105596176 + 4225 = 10276^2 + 65^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105600401 is a prime.

It is a super-2 number, since 2×105600401² = 22302889382721602, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105600401.

It is not a weakly prime, because it can be changed into another prime (105600409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800200 + 52800201.

It is an arithmetic number, because the mean of its divisors is an integer number (52800201).

Almost surely, 2^105600401 is an apocalyptic number.

It is an amenable number.

105600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105600401 is an equidigital number, since it uses as much as digits as its factorization.

105600401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105600401 is about 10276.2055740434. The cubic root of 105600401 is about 472.6668984791. Note that the first 3 decimals are identical.

Adding to 105600401 its reverse (104006501), we get a palindrome (209606902).

The spelling of 105600401 in words is "one hundred five million, six hundred thousand, four hundred one".