10705228720 has 20 divisors (see below), whose sum is σ = 24889656960. Its totient is φ = 4282091456.

The previous prime is 10705228717. The next prime is 10705228753. The reversal of 10705228720 is 2782250701.

10705228720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10705228720² (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 3 ways as a sum of consecutive naturals, for example, 66907600 + ... + 66907759.

It is an arithmetic number, because the mean of its divisors is an integer number (1244482848).

Almost surely, 2^10705228720 is an apocalyptic number.

10705228720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705228720 is an abundant number, since it is smaller than the sum of its proper divisors (14184428240).

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

10705228720 is a wasteful number, since it uses less digits than its factorization.

10705228720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133815372 (or 133815366 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The spelling of 10705228720 in words is "ten billion, seven hundred five million, two hundred twenty-eight thousand, seven hundred twenty".