105535052401 has 2 divisors, whose sum is σ = 105535052402. Its totient is φ = 105535052400.

The previous prime is 105535052393. The next prime is 105535052411. The reversal of 105535052401 is 104250535501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105526872801 + 8179600 = 324849^2 + 2860^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535052401 - 2³ = 105535052393 is a prime.

It is a super-2 number, since 2×105535052401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105535052411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767526200 + 52767526201.

It is an arithmetic number, because the mean of its divisors is an integer number (52767526201).

Almost surely, 2^105535052401 is an apocalyptic number.

It is an amenable number.

105535052401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535052401 is an equidigital number, since it uses as much as digits as its factorization.

105535052401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15000, while the sum is 31.

Adding to 105535052401 its reverse (104250535501), we get a palindrome (209785587902).

The spelling of 105535052401 in words is "one hundred five billion, five hundred thirty-five million, fifty-two thousand, four hundred one".