105055206601 has 2 divisors, whose sum is σ = 105055206602. Its totient is φ = 105055206600.

The previous prime is 105055206593. The next prime is 105055206667. The reversal of 105055206601 is 106602550501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74515896576 + 30539310025 = 272976^2 + 174755^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055206601 - 2³ = 105055206593 is a prime.

It is a super-2 number, since 2×105055206601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105055206671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527603300 + 52527603301.

It is an arithmetic number, because the mean of its divisors is an integer number (52527603301).

Almost surely, 2^105055206601 is an apocalyptic number.

It is an amenable number.

105055206601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055206601 is an equidigital number, since it uses as much as digits as its factorization.

105055206601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 105055206601 in words is "one hundred five billion, fifty-five million, two hundred six thousand, six hundred one".