10878616100 has 216 divisors, whose sum is σ = 27367810848. Its totient is φ = 3720000000.

The previous prime is 10878616093. The next prime is 10878616123. The reversal of 10878616100 is 161687801.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 43340975 + ... + 43341225.

It is an arithmetic number, because the mean of its divisors is an integer number (126702828).

Almost surely, 2^10878616100 is an apocalyptic number.

10878616100 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 10878616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683905424).

10878616100 is an abundant number, since it is smaller than the sum of its proper divisors (16489194748).

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

10878616100 is a wasteful number, since it uses less digits than its factorization.

10878616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 10878616100 in words is "ten billion, eight hundred seventy-eight million, six hundred sixteen thousand, one hundred".