10142345200 has 120 divisors (see below), whose sum is σ = 26282442816. Its totient is φ = 3739008000.

The previous prime is 10142345183. The next prime is 10142345201. The reversal of 10142345200 is 254324101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142345201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4736130 + ... + 4738270.

Almost surely, 2^10142345200 is an apocalyptic number.

10142345200 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 10142345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141221408).

10142345200 is an abundant number, since it is smaller than the sum of its proper divisors (16140097616).

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

10142345200 is a wasteful number, since it uses less digits than its factorization.

10142345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10142345200 its reverse (254324101), we get a palindrome (10396669301).

The spelling of 10142345200 in words is "ten billion, one hundred forty-two million, three hundred forty-five thousand, two hundred".