10705675080 has 128 divisors (see below), whose sum is σ = 32715446400. Its totient is φ = 2801817600.

The previous prime is 10705675073. The next prime is 10705675093. The reversal of 10705675080 is 8057650701.

10705675080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10705675080² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7227940 + ... + 7229420.

It is an arithmetic number, because the mean of its divisors is an integer number (255589425).

Almost surely, 2^10705675080 is an apocalyptic number.

10705675080 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 10705675080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357723200).

10705675080 is an abundant number, since it is smaller than the sum of its proper divisors (22009771320).

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

10705675080 is a wasteful number, since it uses less digits than its factorization.

10705675080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 10705675080 in words is "ten billion, seven hundred five million, six hundred seventy-five thousand, eighty".