105000505000 has 80 divisors (see below), whose sum is σ = 247392684000. Its totient is φ = 41765208000.

The previous prime is 105000504989. The next prime is 105000505031. The reversal of 105000505000 is 505000501.

It is a super-2 number, since 2×105000505000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 836341 + ... + 953659.

It is an arithmetic number, because the mean of its divisors is an integer number (3092408550).

Almost surely, 2^105000505000 is an apocalyptic number.

105000505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105000505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123696342000).

105000505000 is an abundant number, since it is smaller than the sum of its proper divisors (142392179000).

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

105000505000 is a wasteful number, since it uses less digits than its factorization.

105000505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117524 (or 117505 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

Adding to 105000505000 its reverse (505000501), we get a palindrome (105505505501).

The spelling of 105000505000 in words is "one hundred five billion, five hundred five thousand".