100143456 has 144 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 28062720.

The previous prime is 100143397. The next prime is 100143457. The reversal of 100143456 is 654341001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100143457) 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 23 ways as a sum of consecutive naturals, for example, 286770 + ... + 287118.

It is an arithmetic number, because the mean of its divisors is an integer number (2164575).

Almost surely, 2^100143456 is an apocalyptic number.

100143456 is a gapful number since it is divisible by the number (16) 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 100143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

100143456 is an abundant number, since it is smaller than the sum of its proper divisors (211555344).

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

100143456 is a wasteful number, since it uses less digits than its factorization.

100143456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 100143456 is about 10007.1702293905. The cubic root of 100143456 is about 464.3807318993.

Adding to 100143456 its reverse (654341001), we get a palindrome (754484457).

The spelling of 100143456 in words is "one hundred million, one hundred forty-three thousand, four hundred fifty-six".