106005550505 has 16 divisors (see below), whose sum is σ = 127446359040. Its totient is φ = 84644740992.

The previous prime is 106005550493. The next prime is 106005550507. The reversal of 106005550505 is 505055500601.

It is a cyclic number.

It is not a de Polignac number, because 106005550505 - 2¹⁴ = 106005534121 is a prime.

It is a super-2 number, since 2×106005550505² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005550507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14154872 + ... + 14162358.

It is an arithmetic number, because the mean of its divisors is an integer number (7965397440).

Almost surely, 2^106005550505 is an apocalyptic number.

It is an amenable number.

106005550505 is a deficient number, since it is larger than the sum of its proper divisors (21440808535).

106005550505 is an equidigital number, since it uses as much as digits as its factorization.

106005550505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12448.

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 106005550505 in words is "one hundred six billion, five million, five hundred fifty thousand, five hundred five".