105414412001 has 2 divisors, whose sum is σ = 105414412002. Its totient is φ = 105414412000.

The previous prime is 105414411983. The next prime is 105414412007. The reversal of 105414412001 is 100214414501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52709272225 + 52705139776 = 229585^2 + 229576^2 .

It is a cyclic number.

It is not a de Polignac number, because 105414412001 - 2²⁶ = 105347303137 is a prime.

It is a super-2 number, since 2×105414412001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105414412007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707206000 + 52707206001.

It is an arithmetic number, because the mean of its divisors is an integer number (52707206001).

Almost surely, 2^105414412001 is an apocalyptic number.

It is an amenable number.

105414412001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414412001 is an equidigital number, since it uses as much as digits as its factorization.

105414412001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 105414412001 its reverse (100214414501), we get a palindrome (205628826502).

The spelling of 105414412001 in words is "one hundred five billion, four hundred fourteen million, four hundred twelve thousand, one".