10144301200 has 180 divisors, whose sum is σ = 28366817220. Its totient is φ = 3471564800.

The previous prime is 10144301197. The next prime is 10144301243. The reversal of 10144301200 is 210344101.

It can be written as a sum of positive squares in 6 ways, for example, as 1311308944 + 8832992256 = 36212^2 + 93984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 816636 + ... + 828964.

It is an arithmetic number, because the mean of its divisors is an integer number (157593429).

Almost surely, 2^10144301200 is an apocalyptic number.

10144301200 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 10144301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183408610).

10144301200 is an abundant number, since it is smaller than the sum of its proper divisors (18222516020).

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

10144301200 is a wasteful number, since it uses less digits than its factorization.

10144301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12386 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10144301200 its reverse (210344101), we get a palindrome (10354645301).

The spelling of 10144301200 in words is "ten billion, one hundred forty-four million, three hundred one thousand, two hundred".