105605066655 has 80 divisors (see below), whose sum is σ = 209425886208. Its totient is φ = 50481144000.

The previous prime is 105605066641. The next prime is 105605066717. The reversal of 105605066655 is 556660506501.

It is not a de Polignac number, because 105605066655 - 2⁶ = 105605066591 is a prime.

It is a super-2 number, since 2×105605066655² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105605066655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149370 + ... + 483240.

Almost surely, 2^105605066655 is an apocalyptic number.

105605066655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105605066655 is a deficient number, since it is larger than the sum of its proper divisors (103820819553).

105605066655 is a wasteful number, since it uses less digits than its factorization.

105605066655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333970 (or 333961 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 105605066655 in words is "one hundred five billion, six hundred five million, sixty-six thousand, six hundred fifty-five".