100128829509 has 10 divisors (see below), whose sum is σ = 149575165190. Its totient is φ = 66752552952.

The previous prime is 100128829501. The next prime is 100128829519. The reversal of 100128829509 is 905928821001.

100128829509 is a `hidden beast` number, since 10 + 0 + 128 + 8 + 2 + 9 + 509 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92921328900 + 7207500609 = 304830^2 + 84897^2 .

It is not a de Polignac number, because 100128829509 - 2³ = 100128829501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100128829501) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 618079114 + ... + 618079275.

It is an arithmetic number, because the mean of its divisors is an integer number (14957516519).

Almost surely, 2^100128829509 is an apocalyptic number.

It is an amenable number.

100128829509 is a deficient number, since it is larger than the sum of its proper divisors (49446335681).

100128829509 is an equidigital number, since it uses as much as digits as its factorization.

100128829509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236158401 (or 1236158392 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 100128829509 in words is "one hundred billion, one hundred twenty-eight million, eight hundred twenty-nine thousand, five hundred nine".