100505941536000 has 7776 divisors, whose sum is σ = 498700306331136. Its totient is φ = 17757831168000.

The previous prime is 100505941535963. The next prime is 100505941536023. The reversal of 100505941536000 is 635149505001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 100505941536000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2138424287977 + ... + 2138424288023.

Almost surely, 2^{100505941536000} is an apocalyptic number.

100505941536000 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 100505941536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249350153165568).

100505941536000 is an abundant number, since it is smaller than the sum of its proper divisors (398194364795136).

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

100505941536000 is a wasteful number, since it uses less digits than its factorization.

100505941536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 100505941536000 in words is "one hundred trillion, five hundred five billion, nine hundred forty-one million, five hundred thirty-six thousand".