432143106100 has 144 divisors (see below), whose sum is σ = 997056184320. Its totient is φ = 162236131200.

The previous prime is 432143106097. The next prime is 432143106167. The reversal of 432143106100 is 1601341234.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29609805 + ... + 29624395.

It is an arithmetic number, because the mean of its divisors is an integer number (6924001280).

Almost surely, 2^432143106100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432143106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498528092160).

432143106100 is an abundant number, since it is smaller than the sum of its proper divisors (564913078220).

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

432143106100 is a wasteful number, since it uses less digits than its factorization.

432143106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14870 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 432143106100 its reverse (1601341234), we get a palindrome (433744447334).

The spelling of 432143106100 in words is "four hundred thirty-two billion, one hundred forty-three million, one hundred six thousand, one hundred".