100666446012 has 36 divisors (see below), whose sum is σ = 277595352216. Its totient is φ = 30504983520.

The previous prime is 100666445993. The next prime is 100666446029. The reversal of 100666446012 is 210644666001.

100666446012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×100666446012³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127103703 + ... + 127104494.

It is an arithmetic number, because the mean of its divisors is an integer number (7710982006).

Almost surely, 2^100666446012 is an apocalyptic number.

100666446012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100666446012 is an abundant number, since it is smaller than the sum of its proper divisors (176928906204).

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

100666446012 is a wasteful number, since it uses less digits than its factorization.

100666446012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254208218 (or 254208213 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 1006664 and 46012, that added together give a square (1052676 = 1026²).

The spelling of 100666446012 in words is "one hundred billion, six hundred sixty-six million, four hundred forty-six thousand, twelve".