10707107200 has 96 divisors (see below), whose sum is σ = 27600086160. Its totient is φ = 4096604160.

The previous prime is 10707107087. The next prime is 10707107227. The reversal of 10707107200 is 270170701.

10707107200 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 2×10707107200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 862 + ... + 146338.

Almost surely, 2^10707107200 is an apocalyptic number.

10707107200 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 10707107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800043080).

10707107200 is an abundant number, since it is smaller than the sum of its proper divisors (16892978960).

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

10707107200 is a wasteful number, since it uses less digits than its factorization.

10707107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145524 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 25.

Adding to 10707107200 its reverse (270170701), we get a palindrome (10977277901).

The spelling of 10707107200 in words is "ten billion, seven hundred seven million, one hundred seven thousand, two hundred".