100104933743232 has 1024 divisors, whose sum is σ = 326634799104000. Its totient is φ = 26805123072000.

The previous prime is 100104933743207. The next prime is 100104933743233. The reversal of 100104933743232 is 232347339401001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100104933743233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65728780423 + ... + 65728781945.

It is an arithmetic number, because the mean of its divisors is an integer number (318979296000).

Almost surely, 2^{100104933743232} is an apocalyptic number.

100104933743232 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 100104933743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163317399552000).

100104933743232 is an abundant number, since it is smaller than the sum of its proper divisors (226529865360768).

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

100104933743232 is a wasteful number, since it uses less digits than its factorization.

100104933743232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 100104933743232 in words is "one hundred trillion, one hundred four billion, nine hundred thirty-three million, seven hundred forty-three thousand, two hundred thirty-two".