100864111680 has 896 divisors, whose sum is σ = 399497702400. Its totient is φ = 23824171008.

The previous prime is 100864111669. The next prime is 100864111717. The reversal of 100864111680 is 86111468001.

100864111680 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 641 + 1 + 1 + 6 + 8 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246611316 + ... + 246611724.

Almost surely, 2^100864111680 is an apocalyptic number.

100864111680 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 100864111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199748851200).

100864111680 is an abundant number, since it is smaller than the sum of its proper divisors (298633590720).

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

100864111680 is a wasteful number, since it uses less digits than its factorization.

100864111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 100864111680 its reverse (86111468001), we get a palindrome (186975579681).

The spelling of 100864111680 in words is "one hundred billion, eight hundred sixty-four million, one hundred eleven thousand, six hundred eighty".