10505501000 has 128 divisors (see below), whose sum is σ = 25160803200. Its totient is φ = 4104172800.

The previous prime is 10505500997. The next prime is 10505501003. The reversal of 10505501000 is 10550501.

It is an interprime number because it is at equal distance from previous prime (10505500997) and next prime (10505501003).

It is a super-2 number, since 2×10505501000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505501000.

It is not an unprimeable number, because it can be changed into a prime (10505501003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20086739 + ... + 20087261.

It is an arithmetic number, because the mean of its divisors is an integer number (196568775).

Almost surely, 2^10505501000 is an apocalyptic number.

10505501000 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 10505501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580401600).

10505501000 is an abundant number, since it is smaller than the sum of its proper divisors (14655302200).

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

10505501000 is a wasteful number, since it uses less digits than its factorization.

10505501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 962 counting only the distinct ones).

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

The spelling of 10505501000 in words is "ten billion, five hundred five million, five hundred one thousand".