105616560535 has 16 divisors (see below), whose sum is σ = 134206956000. Its totient is φ = 79516066816.

The previous prime is 105616560499. The next prime is 105616560559. The reversal of 105616560535 is 535065616501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105616560535 - 2¹⁹ = 105616036247 is a prime.

It is a super-3 number, since 3×105616560535³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105616560491 and 105616560500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048251 + ... + 1144579.

It is an arithmetic number, because the mean of its divisors is an integer number (8387934750).

Almost surely, 2^105616560535 is an apocalyptic number.

105616560535 is a deficient number, since it is larger than the sum of its proper divisors (28590395465).

105616560535 is a wasteful number, since it uses less digits than its factorization.

105616560535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109250.

The product of its (nonzero) digits is 405000, while the sum is 43.

The spelling of 105616560535 in words is "one hundred five billion, six hundred sixteen million, five hundred sixty thousand, five hundred thirty-five".