100432442400 has 72 divisors (see below), whose sum is σ = 326907607824. Its totient is φ = 26781984000.

The previous prime is 100432442371. The next prime is 100432442443. The reversal of 100432442400 is 4244234001.

It is a happy number.

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

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 11 ways as a sum of consecutive naturals, for example, 20921026 + ... + 20925825.

It is an arithmetic number, because the mean of its divisors is an integer number (4540383442).

Almost surely, 2^100432442400 is an apocalyptic number.

100432442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432442400 is an abundant number, since it is smaller than the sum of its proper divisors (226475165424).

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

100432442400 is a wasteful number, since it uses less digits than its factorization.

100432442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41846874 (or 41846861 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100432442400 its reverse (4244234001), we get a palindrome (104676676401).

The spelling of 100432442400 in words is "one hundred billion, four hundred thirty-two million, four hundred forty-two thousand, four hundred".