100666152000 has 784 divisors, whose sum is σ = 383804641584. Its totient is φ = 26127360000.

The previous prime is 100666151981. The next prime is 100666152049. The reversal of 100666152000 is 251666001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 90403651584 + 10262500416 = 300672^2 + 101304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 239111790 + ... + 239112210.

Almost surely, 2^100666152000 is an apocalyptic number.

100666152000 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 100666152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191902320792).

100666152000 is an abundant number, since it is smaller than the sum of its proper divisors (283138489584).

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

100666152000 is an frugal number, since it uses more digits than its factorization.

100666152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 100666152000 in words is "one hundred billion, six hundred sixty-six million, one hundred fifty-two thousand".