100832409216 has 576 divisors, whose sum is σ = 380425368960. Its totient is φ = 25045954560.

The previous prime is 100832409199. The next prime is 100832409221. The reversal of 100832409216 is 612904238001.

100832409216 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 32 + 409 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22439866 + ... + 22444358.

It is an arithmetic number, because the mean of its divisors is an integer number (660460710).

Almost surely, 2^100832409216 is an apocalyptic number.

100832409216 is a gapful number since it is divisible by the number (16) 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 100832409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190212684480).

100832409216 is an abundant number, since it is smaller than the sum of its proper divisors (279592959744).

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

100832409216 is a wasteful number, since it uses less digits than its factorization.

100832409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 100832409216 in words is "one hundred billion, eight hundred thirty-two million, four hundred nine thousand, two hundred sixteen".