10544631200 has 36 divisors (see below), whose sum is σ = 25742082870. Its totient is φ = 4217852160.

The previous prime is 10544631197. The next prime is 10544631203. The reversal of 10544631200 is 213644501.

It is an interprime number because it is at equal distance from previous prime (10544631197) and next prime (10544631203).

It can be written as a sum of positive squares in 3 ways, for example, as 5535955216 + 5008675984 = 74404^2 + 70772^2 .

It is a super-2 number, since 2×10544631200² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10544631200.

It is not an unprimeable number, because it can be changed into a prime (10544631203) 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 5 ways as a sum of consecutive naturals, for example, 6589595 + ... + 6591194.

Almost surely, 2^10544631200 is an apocalyptic number.

10544631200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10544631200 is an abundant number, since it is smaller than the sum of its proper divisors (15197451670).

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

10544631200 is a wasteful number, since it uses less digits than its factorization.

10544631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180809 (or 13180796 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10544631200 in words is "ten billion, five hundred forty-four million, six hundred thirty-one thousand, two hundred".