10710345600 has 864 divisors, whose sum is σ = 43190074200. Its totient is φ = 2518179840.

The previous prime is 10710345557. The next prime is 10710345641. The reversal of 10710345600 is 654301701.

10710345600 is a `hidden beast` number, since 1 + 0 + 7 + 10 + 3 + 45 + 600 = 666.

10710345600 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 2×10710345600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 289468782 + ... + 289468818.

Almost surely, 2^10710345600 is an apocalyptic number.

10710345600 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 10710345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595037100).

10710345600 is an abundant number, since it is smaller than the sum of its proper divisors (32479728600).

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

10710345600 is a wasteful number, since it uses less digits than its factorization.

10710345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10710345600 in words is "ten billion, seven hundred ten million, three hundred forty-five thousand, six hundred".