10934710710 has 512 divisors, whose sum is σ = 36429004800. Its totient is φ = 2049062400.

The previous prime is 10934710697. The next prime is 10934710711. The reversal of 10934710710 is 1701743901.

10934710710 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 2×10934710710² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10934710711) 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 255 ways as a sum of consecutive naturals, for example, 154009975 + ... + 154010045.

It is an arithmetic number, because the mean of its divisors is an integer number (71150400).

Almost surely, 2^10934710710 is an apocalyptic number.

10934710710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10934710710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214502400).

10934710710 is an abundant number, since it is smaller than the sum of its proper divisors (25494294090).

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

10934710710 is a wasteful number, since it uses less digits than its factorization.

10934710710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 10934710710 in words is "ten billion, nine hundred thirty-four million, seven hundred ten thousand, seven hundred ten".