105605505038 has 16 divisors (see below), whose sum is σ = 173009281536. Its totient is φ = 47946870840.

The previous prime is 105605505037. The next prime is 105605505067. The reversal of 105605505038 is 830505506501.

It is a super-3 number, since 3×105605505038³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105605504992 and 105605505010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605505037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2762156 + ... + 2800127.

It is an arithmetic number, because the mean of its divisors is an integer number (10813080096).

Almost surely, 2^105605505038 is an apocalyptic number.

105605505038 is a deficient number, since it is larger than the sum of its proper divisors (67403776498).

105605505038 is a wasteful number, since it uses less digits than its factorization.

105605505038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563159.

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 105605505038 in words is "one hundred five billion, six hundred five million, five hundred five thousand, thirty-eight".