105535655041 has 2 divisors, whose sum is σ = 105535655042. Its totient is φ = 105535655040.

The previous prime is 105535654999. The next prime is 105535655107. The reversal of 105535655041 is 140556535501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100476320400 + 5059334641 = 316980^2 + 71129^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535655041 - 2¹⁷ = 105535523969 is a prime.

It is a super-2 number, since 2×105535655041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535654985 and 105535655003.

It is not a weakly prime, because it can be changed into another prime (105535655441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767827520 + 52767827521.

It is an arithmetic number, because the mean of its divisors is an integer number (52767827521).

Almost surely, 2^105535655041 is an apocalyptic number.

It is an amenable number.

105535655041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535655041 is an equidigital number, since it uses as much as digits as its factorization.

105535655041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225000, while the sum is 40.

The spelling of 105535655041 in words is "one hundred five billion, five hundred thirty-five million, six hundred fifty-five thousand, forty-one".