105505512005435 has 8 divisors (see below), whose sum is σ = 134054062312896. Its totient is φ = 79439444333440.

The previous prime is 105505512005417. The next prime is 105505512005437. The reversal of 105505512005435 is 534500215505501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105505512005435 - 2²² = 105505507811131 is a prime.

It is a super-2 number, since 2×105505512005435² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105505512005392 and 105505512005401.

It is not an unprimeable number, because it can be changed into a prime (105505512005437) 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 7 ways as a sum of consecutive naturals, for example, 620620658771 + ... + 620620658940.

It is an arithmetic number, because the mean of its divisors is an integer number (16756757789112).

Almost surely, 2^{105505512005435} is an apocalyptic number.

105505512005435 is a deficient number, since it is larger than the sum of its proper divisors (28548550307461).

105505512005435 is a wasteful number, since it uses less digits than its factorization.

105505512005435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241241317733.

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 105505512005435 in words is "one hundred five trillion, five hundred five billion, five hundred twelve million, five thousand, four hundred thirty-five".