105405300001 has 2 divisors, whose sum is σ = 105405300002. Its totient is φ = 105405300000.

The previous prime is 105405299953. The next prime is 105405300017. The reversal of 105405300001 is 100003504501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92036390625 + 13368909376 = 303375^2 + 115624^2 .

It is an emirp because it is prime and its reverse (100003504501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105405300001 - 2²³ = 105396911393 is a prime.

It is a super-2 number, since 2×105405300001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105405300071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702650000 + 52702650001.

It is an arithmetic number, because the mean of its divisors is an integer number (52702650001).

Almost surely, 2^105405300001 is an apocalyptic number.

It is an amenable number.

105405300001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405300001 is an equidigital number, since it uses as much as digits as its factorization.

105405300001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 105405300001 its reverse (100003504501), we get a palindrome (205408804502).

The spelling of 105405300001 in words is "one hundred five billion, four hundred five million, three hundred thousand, one".