105000005000 has 80 divisors (see below), whose sum is σ = 268380153360. Its totient is φ = 38181800000.

The previous prime is 105000004997. The next prime is 105000005023. The reversal of 105000005000 is 500000501.

It is a super-2 number, since 2×105000005000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

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 19 ways as a sum of consecutive naturals, for example, 899546 + ... + 1009545.

It is an arithmetic number, because the mean of its divisors is an integer number (3354751917).

Almost surely, 2^105000005000 is an apocalyptic number.

105000005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000005000 is an abundant number, since it is smaller than the sum of its proper divisors (163380148360).

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

105000005000 is a wasteful number, since it uses less digits than its factorization.

105000005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909128 (or 1909109 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

Adding to 105000005000 its reverse (500000501), we get a palindrome (105500005501).

The spelling of 105000005000 in words is "one hundred five billion, five thousand".