105006655665 has 24 divisors (see below), whose sum is σ = 188752706688. Its totient is φ = 56003549040.

The previous prime is 105006655631. The next prime is 105006655681. The reversal of 105006655665 is 566556600501.

It is not a de Polignac number, because 105006655665 - 2⁸ = 105006655409 is a prime.

It is a super-2 number, since 2×105006655665² (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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105006655665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43211401 + ... + 43213830.

It is an arithmetic number, because the mean of its divisors is an integer number (7864696112).

Almost surely, 2^105006655665 is an apocalyptic number.

105006655665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105006655665 is a deficient number, since it is larger than the sum of its proper divisors (83746051023).

105006655665 is an frugal number, since it uses more digits than its factorization.

105006655665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86425251 (or 86425239 counting only the distinct ones).

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

The spelling of 105006655665 in words is "one hundred five billion, six million, six hundred fifty-five thousand, six hundred sixty-five".