105435255305 has 16 divisors (see below), whose sum is σ = 132032502144. Its totient is φ = 80675253120.

The previous prime is 105435255301. The next prime is 105435255361. The reversal of 105435255305 is 503552534501.

It is not a de Polignac number, because 105435255305 - 2² = 105435255301 is a prime.

It is a super-2 number, since 2×105435255305² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105435255301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460110 + ... + 2502600.

It is an arithmetic number, because the mean of its divisors is an integer number (8252031384).

Almost surely, 2^105435255305 is an apocalyptic number.

It is an amenable number.

105435255305 is a deficient number, since it is larger than the sum of its proper divisors (26597246839).

105435255305 is a wasteful number, since it uses less digits than its factorization.

105435255305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64096.

The product of its (nonzero) digits is 225000, while the sum is 38.

Adding to 105435255305 its reverse (503552534501), we get a palindrome (608987789806).

The spelling of 105435255305 in words is "one hundred five billion, four hundred thirty-five million, two hundred fifty-five thousand, three hundred five".