100852655904 has 576 divisors, whose sum is σ = 397977027840. Its totient is φ = 24178176000.

The previous prime is 100852655879. The next prime is 100852655921. The reversal of 100852655904 is 409556258001.

100852655904 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 52 + 6 + 5 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100852655904.

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 95 ways as a sum of consecutive naturals, for example, 9508204 + ... + 9518804.

It is an arithmetic number, because the mean of its divisors is an integer number (690932340).

Almost surely, 2^100852655904 is an apocalyptic number.

100852655904 is a gapful number since it is divisible by the number (14) 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 100852655904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198988513920).

100852655904 is an abundant number, since it is smaller than the sum of its proper divisors (297124371936).

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

100852655904 is a wasteful number, since it uses less digits than its factorization.

100852655904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10662 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 100852655904 in words is "one hundred billion, eight hundred fifty-two million, six hundred fifty-five thousand, nine hundred four".