105536435364261 has 32 divisors (see below), whose sum is σ = 170643751632000. Its totient is φ = 63931545095040.

The previous prime is 105536435364259. The next prime is 105536435364301. The reversal of 105536435364261 is 162463534635501.

105536435364261 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 6 + 4 + 3 + 536 + 42 + 61 = 666.

It is not a de Polignac number, because 105536435364261 - 2¹ = 105536435364259 is a prime.

It is a super-2 number, since 2×105536435364261² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105536435364198 and 105536435364207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536435364221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82505586 + ... + 83774963.

It is an arithmetic number, because the mean of its divisors is an integer number (5332617238500).

Almost surely, 2^{105536435364261} is an apocalyptic number.

105536435364261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105536435364261 is a deficient number, since it is larger than the sum of its proper divisors (65107316267739).

105536435364261 is a wasteful number, since it uses less digits than its factorization.

105536435364261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166282706 (or 166282700 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

Adding to 105536435364261 its reverse (162463534635501), we get a palindrome (267999969999762).

The spelling of 105536435364261 in words is "one hundred five trillion, five hundred thirty-six billion, four hundred thirty-five million, three hundred sixty-four thousand, two hundred sixty-one".