11710105000 has 160 divisors (see below), whose sum is σ = 31235751360. Its totient is φ = 4072640000.

The previous prime is 11710104979. The next prime is 11710105007. The reversal of 11710105000 is 50101711.

11710105000 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 2×11710105000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11710105007) 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 39 ways as a sum of consecutive naturals, for example, 1260372 + ... + 1269628.

It is an arithmetic number, because the mean of its divisors is an integer number (195223446).

Almost surely, 2^11710105000 is an apocalyptic number.

11710105000 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 11710105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15617875680).

11710105000 is an abundant number, since it is smaller than the sum of its proper divisors (19525646360).

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

11710105000 is a wasteful number, since it uses less digits than its factorization.

11710105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9298 counting only the distinct ones).

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

Adding to 11710105000 its reverse (50101711), we get a palindrome (11760206711).

The spelling of 11710105000 in words is "eleven billion, seven hundred ten million, one hundred five thousand".