100878505128 has 48 divisors (see below), whose sum is σ = 273362843520. Its totient is φ = 33607679136.

The previous prime is 100878505081. The next prime is 100878505129. The reversal of 100878505128 is 821505878001.

100878505128 is a `hidden beast` number, since 1 + 0 + 0 + 87 + 8 + 50 + 512 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (100878505129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253026 + ... + 515537.

It is an arithmetic number, because the mean of its divisors is an integer number (5695059240).

Almost surely, 2^100878505128 is an apocalyptic number.

100878505128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100878505128 is an abundant number, since it is smaller than the sum of its proper divisors (172484338392).

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

100878505128 is a wasteful number, since it uses less digits than its factorization.

100878505128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770398 (or 770391 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 100878505128 in words is "one hundred billion, eight hundred seventy-eight million, five hundred five thousand, one hundred twenty-eight".