10050605105000 has 160 divisors (see below), whose sum is σ = 25071571685160. Its totient is φ = 3762846720000.

The previous prime is 10050605104987. The next prime is 10050605105011. The reversal of 10050605105000 is 50150605001.

It can be written as a sum of positive squares in 20 ways, for example, as 3113481424036 + 6937123680964 = 1764506^2 + 2633842^2 .

It is a super-2 number, since 2×10050605105000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15058364 + ... + 15711636.

Almost surely, 2^{10050605105000} is an apocalyptic number.

10050605105000 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 10050605105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535785842580).

10050605105000 is an abundant number, since it is smaller than the sum of its proper divisors (15020966580160).

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

10050605105000 is a wasteful number, since it uses less digits than its factorization.

10050605105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653497 (or 653478 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 10050605105000 in words is "ten trillion, fifty billion, six hundred five million, one hundred five thousand".