105642401 has 2 divisors, whose sum is σ = 105642402. Its totient is φ = 105642400.

The previous prime is 105642373. The next prime is 105642421. The reversal of 105642401 is 104246501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105596176 + 46225 = 10276^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 105642401 - 2¹⁸ = 105380257 is a prime.

It is a super-2 number, since 2×105642401² = 22320633778089602, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105642421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52821200 + 52821201.

It is an arithmetic number, because the mean of its divisors is an integer number (52821201).

Almost surely, 2^105642401 is an apocalyptic number.

It is an amenable number.

105642401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105642401 is an equidigital number, since it uses as much as digits as its factorization.

105642401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105642401 is about 10278.2489267384. The cubic root of 105642401 is about 472.7295541075.

Adding to 105642401 its reverse (104246501), we get a palindrome (209888902).

The spelling of 105642401 in words is "one hundred five million, six hundred forty-two thousand, four hundred one".