10507187200 has 132 divisors (see below), whose sum is σ = 26945111340. Its totient is φ = 4057661440.

The previous prime is 10507187191. The next prime is 10507187203. The reversal of 10507187200 is 278170501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 372335616 + 10134851584 = 19296^2 + 100672^2 .

It is a super-2 number, since 2×10507187200² (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 (10507187203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735324 + ... + 749476.

Almost surely, 2^10507187200 is an apocalyptic number.

10507187200 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 10507187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472555670).

10507187200 is an abundant number, since it is smaller than the sum of its proper divisors (16437924140).

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

10507187200 is a wasteful number, since it uses less digits than its factorization.

10507187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14212 (or 14189 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The spelling of 10507187200 in words is "ten billion, five hundred seven million, one hundred eighty-seven thousand, two hundred".