10605050000 has 120 divisors (see below), whose sum is σ = 25923543912. Its totient is φ = 4202240000.

The previous prime is 10605049963. The next prime is 10605050003. The reversal of 10605050000 is 5050601.

It can be written as a sum of positive squares in 12 ways, for example, as 10079356816 + 525693184 = 100396^2 + 22928^2 .

It is a super-2 number, since 2×10605050000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605050003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5649062 + ... + 5650938.

Almost surely, 2^10605050000 is an apocalyptic number.

10605050000 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 10605050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12961771956).

10605050000 is an abundant number, since it is smaller than the sum of its proper divisors (15318493912).

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

10605050000 is an equidigital number, since it uses as much as digits as its factorization.

10605050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The spelling of 10605050000 in words is "ten billion, six hundred five million, fifty thousand".