10200144 has 80 divisors (see below), whose sum is σ = 27748224. Its totient is φ = 3225600.

The previous prime is 10200139. The next prime is 10200149. The reversal of 10200144 is 44100201.

It is an interprime number because it is at equal distance from previous prime (10200139) and next prime (10200149).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139692 + ... + 139764.

Almost surely, 2^10200144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112).

10200144 is an abundant number, since it is smaller than the sum of its proper divisors (17548080).

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

10200144 is a wasteful number, since it uses less digits than its factorization.

10200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10200144 is about 3193.7664285292. The cubic root of 10200144 is about 216.8713090863.

Adding to 10200144 its reverse (44100201), we get a palindrome (54300345).

The spelling of 10200144 in words is "ten million, two hundred thousand, one hundred forty-four".