105051435535 has 32 divisors (see below), whose sum is σ = 133367721984. Its totient is φ = 79307424000.

The previous prime is 105051435529. The next prime is 105051435551. The reversal of 105051435535 is 535534150501.

It is not a de Polignac number, because 105051435535 - 2¹⁹ = 105050911247 is a prime.

It is a super-2 number, since 2×105051435535² (a number of 23 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 = 105051435494 and 105051435503.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24826870 + ... + 24831100.

It is an arithmetic number, because the mean of its divisors is an integer number (4167741312).

Almost surely, 2^105051435535 is an apocalyptic number.

105051435535 is a deficient number, since it is larger than the sum of its proper divisors (28316286449).

105051435535 is a wasteful number, since it uses less digits than its factorization.

105051435535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215.

The product of its (nonzero) digits is 112500, while the sum is 37.

The spelling of 105051435535 in words is "one hundred five billion, fifty-one million, four hundred thirty-five thousand, five hundred thirty-five".