100666665000 has 320 divisors, whose sum is σ = 381196728000. Its totient is φ = 24403680000.

The previous prime is 100666664941. The next prime is 100666665031. The reversal of 100666665000 is 566666001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1451106 + ... + 1518894.

It is an arithmetic number, because the mean of its divisors is an integer number (1191239775).

Almost surely, 2^100666665000 is an apocalyptic number.

100666665000 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 100666665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190598364000).

100666665000 is an abundant number, since it is smaller than the sum of its proper divisors (280530063000).

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

100666665000 is a wasteful number, since it uses less digits than its factorization.

100666665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67835 (or 67810 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 100666665000 in words is "one hundred billion, six hundred sixty-six million, six hundred sixty-five thousand".