100668403743432 has 256 divisors, whose sum is σ = 307752916838400. Its totient is φ = 26799498362880.

The previous prime is 100668403743379. The next prime is 100668403743521. The reversal of 100668403743432 is 234347304866001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3713728423 + ... + 3713755529.

It is an arithmetic number, because the mean of its divisors is an integer number (1202159831400).

Almost surely, 2^{100668403743432} is an apocalyptic number.

100668403743432 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 100668403743432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153876458419200).

100668403743432 is an abundant number, since it is smaller than the sum of its proper divisors (207084513094968).

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

100668403743432 is a wasteful number, since it uses less digits than its factorization.

100668403743432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46276 (or 46272 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 100668403743432 in words is "one hundred trillion, six hundred sixty-eight billion, four hundred three million, seven hundred forty-three thousand, four hundred thirty-two".