10105505000 has 80 divisors (see below), whose sum is σ = 23944288500. Its totient is φ = 3996608000.

The previous prime is 10105504993. The next prime is 10105505017. The reversal of 10105505000 is 50550101.

It can be written as a sum of positive squares in 10 ways, for example, as 5296637284 + 4808867716 = 72778^2 + 69346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10105505000.

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, 433646 + ... + 456354.

Almost surely, 2^10105505000 is an apocalyptic number.

10105505000 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 10105505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972144250).

10105505000 is an abundant number, since it is smaller than the sum of its proper divisors (13838783500).

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

10105505000 is an equidigital number, since it uses as much as digits as its factorization.

10105505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22824 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 10105505000 in words is "ten billion, one hundred five million, five hundred five thousand".