105005065000 has 80 divisors (see below), whose sum is σ = 268393086720. Its totient is φ = 38183640000.

The previous prime is 105005064979. The next prime is 105005065003. The reversal of 105005065000 is 560500501.

105005065000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105005065000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (105005065003) 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, 899592 + ... + 1009591.

It is an arithmetic number, because the mean of its divisors is an integer number (3354913584).

Almost surely, 2^105005065000 is an apocalyptic number.

105005065000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005065000 is an abundant number, since it is smaller than the sum of its proper divisors (163388021720).

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

105005065000 is a wasteful number, since it uses less digits than its factorization.

105005065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909220 (or 1909201 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

Adding to 105005065000 its reverse (560500501), we get a palindrome (105565565501).

The spelling of 105005065000 in words is "one hundred five billion, five million, sixty-five thousand".