100432883712 has 312 divisors, whose sum is σ = 327941428800. Its totient is φ = 27181744128.

The previous prime is 100432883711. The next prime is 100432883717. The reversal of 100432883712 is 217388234001.

It is a super-2 number, since 2×100432883712² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100432883711) 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, 11435739 + ... + 11444517.

Almost surely, 2^100432883712 is an apocalyptic number.

100432883712 is a gapful number since it is divisible by the number (12) 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 100432883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163970714400).

100432883712 is an abundant number, since it is smaller than the sum of its proper divisors (227508545088).

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

100432883712 is an equidigital number, since it uses as much as digits as its factorization.

100432883712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 100432883712 in words is "one hundred billion, four hundred thirty-two million, eight hundred eighty-three thousand, seven hundred twelve".