10705111000 has 32 divisors (see below), whose sum is σ = 25049962080. Its totient is φ = 4282044000.

The previous prime is 10705110989. The next prime is 10705111009. The reversal of 10705111000 is 11150701.

10705111000 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 2×10705111000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705111009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5351556 + ... + 5353555.

It is an arithmetic number, because the mean of its divisors is an integer number (782811315).

Almost surely, 2^10705111000 is an apocalyptic number.

10705111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705111000 is an abundant number, since it is smaller than the sum of its proper divisors (14344851080).

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

10705111000 is a wasteful number, since it uses less digits than its factorization.

10705111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705132 (or 10705118 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 16.

Adding to 10705111000 its reverse (11150701), we get a palindrome (10716261701).

The spelling of 10705111000 in words is "ten billion, seven hundred five million, one hundred eleven thousand".