100143436800 has 1056 divisors, whose sum is σ = 403525601280. Its totient is φ = 21587558400.

The previous prime is 100143436793. The next prime is 100143436871. The reversal of 100143436800 is 8634341001.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272870217 + ... + 272870583.

Almost surely, 2^100143436800 is an apocalyptic number.

100143436800 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 100143436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201762800640).

100143436800 is an abundant number, since it is smaller than the sum of its proper divisors (303382164480).

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

100143436800 is a wasteful number, since it uses less digits than its factorization.

100143436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 100143436800 its reverse (8634341001), we get a palindrome (108777777801).

The spelling of 100143436800 in words is "one hundred billion, one hundred forty-three million, four hundred thirty-six thousand, eight hundred".