105042305535 has 16 divisors (see below), whose sum is σ = 170576163456. Its totient is φ = 55186404768.

The previous prime is 105042305531. The next prime is 105042305551. The reversal of 105042305535 is 535503240501.

It is a happy number.

It is not a de Polignac number, because 105042305535 - 2² = 105042305531 is a prime.

It is a super-2 number, since 2×105042305535² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105042305496 and 105042305505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105042305531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52258849 + ... + 52260858.

It is an arithmetic number, because the mean of its divisors is an integer number (10661010216).

Almost surely, 2^105042305535 is an apocalyptic number.

105042305535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105042305535 is a deficient number, since it is larger than the sum of its proper divisors (65533857921).

105042305535 is a wasteful number, since it uses less digits than its factorization.

105042305535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104519782.

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 105042305535 in words is "one hundred five billion, forty-two million, three hundred five thousand, five hundred thirty-five".