105840001 has 2 divisors, whose sum is σ = 105840002. Its totient is φ = 105840000.

The previous prime is 105839969. The next prime is 105840061. The reversal of 105840001 is 100048501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93624976 + 12215025 = 9676^2 + 3495^2 .

It is a cyclic number.

It is not a de Polignac number, because 105840001 - 2⁵ = 105839969 is a prime.

It is a super-2 number, since 2×105840001² = 22404211623360002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105840061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52920000 + 52920001.

It is an arithmetic number, because the mean of its divisors is an integer number (52920001).

Almost surely, 2^105840001 is an apocalyptic number.

It is an amenable number.

105840001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105840001 is an equidigital number, since it uses as much as digits as its factorization.

105840001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 105840001 is about 10287.8569682903. The cubic root of 105840001 is about 473.0241112761.

Adding to 105840001 its reverse (100048501), we get a palindrome (205888502).

The spelling of 105840001 in words is "one hundred five million, eight hundred forty thousand, one".