105505565000 has 80 divisors (see below), whose sum is σ = 269672364720. Its totient is φ = 38365640000.

The previous prime is 105505564991. The next prime is 105505565003. The reversal of 105505565000 is 565505501.

It is a super-2 number, since 2×105505565000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505565003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 904142 + ... + 1014141.

It is an arithmetic number, because the mean of its divisors is an integer number (3370904559).

Almost surely, 2^105505565000 is an apocalyptic number.

105505565000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505565000 is an abundant number, since it is smaller than the sum of its proper divisors (164166799720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505565000 is a wasteful number, since it uses less digits than its factorization.

105505565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918320 (or 1918301 counting only the distinct ones).

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

The spelling of 105505565000 in words is "one hundred five billion, five hundred five million, five hundred sixty-five thousand".