100505350534080 has 896 divisors, whose sum is σ = 333791785958400. Its totient is φ = 25608117288960.

The previous prime is 100505350534013. The next prime is 100505350534081. The reversal of 100505350534080 is 80435053505001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100505350534081) 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, 77490631992 + ... + 77490633288.

It is an arithmetic number, because the mean of its divisors is an integer number (372535475400).

Almost surely, 2^{100505350534080} is an apocalyptic number.

100505350534080 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 100505350534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166895892979200).

100505350534080 is an abundant number, since it is smaller than the sum of its proper divisors (233286435424320).

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

100505350534080 is a wasteful number, since it uses less digits than its factorization.

100505350534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 100505350534080 in words is "one hundred trillion, five hundred five billion, three hundred fifty million, five hundred thirty-four thousand, eighty".