105665600505 has 32 divisors (see below), whose sum is σ = 180619315200. Its totient is φ = 52592075712.

The previous prime is 105665600497. The next prime is 105665600531. The reversal of 105665600505 is 505006566501.

It is not a de Polignac number, because 105665600505 - 2³ = 105665600497 is a prime.

It is a super-2 number, since 2×105665600505² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2747745 + ... + 2785934.

It is an arithmetic number, because the mean of its divisors is an integer number (5644353600).

Almost surely, 2^105665600505 is an apocalyptic number.

105665600505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105665600505 is a deficient number, since it is larger than the sum of its proper divisors (74953714695).

105665600505 is a wasteful number, since it uses less digits than its factorization.

105665600505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533773.

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 105665600505 in words is "one hundred five billion, six hundred sixty-five million, six hundred thousand, five hundred five".