105055005001 has 2 divisors, whose sum is σ = 105055005002. Its totient is φ = 105055005000.

The previous prime is 105055004987. The next prime is 105055005059. The reversal of 105055005001 is 100500550501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100299523401 + 4755481600 = 316701^2 + 68960^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055005001 - 2⁹ = 105055004489 is a prime.

It is a super-2 number, since 2×105055005001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105055005301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527502500 + 52527502501.

It is an arithmetic number, because the mean of its divisors is an integer number (52527502501).

Almost surely, 2^105055005001 is an apocalyptic number.

It is an amenable number.

105055005001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055005001 is an equidigital number, since it uses as much as digits as its factorization.

105055005001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 625, while the sum is 22.

Adding to 105055005001 its reverse (100500550501), we get a palindrome (205555555502).

The spelling of 105055005001 in words is "one hundred five billion, fifty-five million, five thousand, one".