100020432000 has 256 divisors, whose sum is σ = 332563345920. Its totient is φ = 26592051200.

The previous prime is 100020431947. The next prime is 100020432011. The reversal of 100020432000 is 234020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 16941049 + ... + 16946951.

It is an arithmetic number, because the mean of its divisors is an integer number (1299075570).

Almost surely, 2^100020432000 is an apocalyptic number.

100020432000 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 100020432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281672960).

100020432000 is an abundant number, since it is smaller than the sum of its proper divisors (232542913920).

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

100020432000 is an equidigital number, since it uses as much as digits as its factorization.

100020432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100020432000 its reverse (234020001), we get a palindrome (100254452001).

The spelling of 100020432000 in words is "one hundred billion, twenty million, four hundred thirty-two thousand".