100143312 has 80 divisors (see below), whose sum is σ = 268584000. Its totient is φ = 32126976.

The previous prime is 100143289. The next prime is 100143313. The reversal of 100143312 is 213341001.

It is a junction number, because it is equal to n+sod(n) for n = 100143291 and 100143300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100143313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200439 + ... + 200937.

It is an arithmetic number, because the mean of its divisors is an integer number (3357300).

Almost surely, 2^100143312 is an apocalyptic number.

100143312 is a gapful number since it is divisible by the number (12) 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 100143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134292000).

100143312 is an abundant number, since it is smaller than the sum of its proper divisors (168440688).

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

100143312 is a wasteful number, since it uses less digits than its factorization.

100143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100143312 is about 10007.1630345468. The cubic root of 100143312 is about 464.3805093157.

Adding to 100143312 its reverse (213341001), we get a palindrome (313484313).

The spelling of 100143312 in words is "one hundred million, one hundred forty-three thousand, three hundred twelve".