10505105580 has 96 divisors (see below), whose sum is σ = 30814156800. Its totient is φ = 2670490368.

The previous prime is 10505105519. The next prime is 10505105587. The reversal of 10505105580 is 8550150501.

It is a super-3 number, since 3×10505105580³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10505105587) 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, 99249 + ... + 175671.

It is an arithmetic number, because the mean of its divisors is an integer number (320980800).

Almost surely, 2^10505105580 is an apocalyptic number.

10505105580 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 10505105580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407078400).

10505105580 is an abundant number, since it is smaller than the sum of its proper divisors (20309051220).

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

10505105580 is a wasteful number, since it uses less digits than its factorization.

10505105580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76543 (or 76541 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 30.

The spelling of 10505105580 in words is "ten billion, five hundred five million, one hundred five thousand, five hundred eighty".