100665604327200 has 432 divisors, whose sum is σ = 361320800113728. Its totient is φ = 24325292288000.

The previous prime is 100665604327177. The next prime is 100665604327229. The reversal of 100665604327200 is 2723406566001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89757094 + ... + 90871706.

It is an arithmetic number, because the mean of its divisors is an integer number (836390741004).

Almost surely, 2^{100665604327200} is an apocalyptic number.

100665604327200 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 100665604327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180660400056864).

100665604327200 is an abundant number, since it is smaller than the sum of its proper divisors (260655195786528).

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

100665604327200 is a wasteful number, since it uses less digits than its factorization.

100665604327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114969 (or 1114945 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 100665604327200 in words is "one hundred trillion, six hundred sixty-five billion, six hundred four million, three hundred twenty-seven thousand, two hundred".