105000055535 has 16 divisors (see below), whose sum is σ = 133429622976. Its totient is φ = 79048324608.

The previous prime is 105000055529. The next prime is 105000055579. The reversal of 105000055535 is 535550000501.

It is a cyclic number.

It is not a de Polignac number, because 105000055535 - 2¹² = 105000051439 is a prime.

It is a super-2 number, since 2×105000055535² (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 = 105000055498 and 105000055507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591134 + ... + 747956.

It is an arithmetic number, because the mean of its divisors is an integer number (8339351436).

Almost surely, 2^105000055535 is an apocalyptic number.

105000055535 is a deficient number, since it is larger than the sum of its proper divisors (28429567441).

105000055535 is a wasteful number, since it uses less digits than its factorization.

105000055535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164722.

The product of its (nonzero) digits is 9375, while the sum is 29.

The spelling of 105000055535 in words is "one hundred five billion, fifty-five thousand, five hundred thirty-five".