100683546912 has 864 divisors, whose sum is σ = 352279549440. Its totient is φ = 28083179520.

The previous prime is 100683546869. The next prime is 100683546917. The reversal of 100683546912 is 219645386001.

100683546912 is a `hidden beast` number, since 10 + 0 + 6 + 8 + 3 + 546 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100683546917) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1131275764 + ... + 1131275852.

It is an arithmetic number, because the mean of its divisors is an integer number (407730960).

Almost surely, 2^100683546912 is an apocalyptic number.

100683546912 is a gapful number since it is divisible by the number (12) 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 100683546912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176139774720).

100683546912 is an abundant number, since it is smaller than the sum of its proper divisors (251596002528).

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

100683546912 is a wasteful number, since it uses less digits than its factorization.

100683546912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 100683546912 in words is "one hundred billion, six hundred eighty-three million, five hundred forty-six thousand, nine hundred twelve".