100432028028 has 48 divisors (see below), whose sum is σ = 246714849920. Its totient is φ = 31710273984.

The previous prime is 100432027961. The next prime is 100432028063. The reversal of 100432028028 is 820820234001.

100432028028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100432027986 and 100432028004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537326 + ... + 1601322.

Almost surely, 2^100432028028 is an apocalyptic number.

It is an amenable number.

100432028028 is an abundant number, since it is smaller than the sum of its proper divisors (146282821892).

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

100432028028 is a wasteful number, since it uses less digits than its factorization.

100432028028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70906 (or 70904 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 100432028028 in words is "one hundred billion, four hundred thirty-two million, twenty-eight thousand, twenty-eight".