10142200 has 96 divisors (see below), whose sum is σ = 26449200. Its totient is φ = 3594240.

The previous prime is 10142191. The next prime is 10142203. The reversal of 10142200 is 224101.

10142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64522 + ... + 64678.

Almost surely, 2^10142200 is an apocalyptic number.

10142200 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 10142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224600).

10142200 is an abundant number, since it is smaller than the sum of its proper divisors (16307000).

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

10142200 is a wasteful number, since it uses less digits than its factorization.

10142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10142200 is about 3184.6820877444. The cubic root of 10142200 is about 216.4598684297.

Adding to 10142200 its reverse (224101), we get a palindrome (10366301).

The spelling of 10142200 in words is "ten million, one hundred forty-two thousand, two hundred".