100780188510080 has 32 divisors (see below), whose sum is σ = 240927638158440. Its totient is φ = 40312075403776.

The previous prime is 100780188510073. The next prime is 100780188510083. The reversal of 100780188510080 is 80015881087001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-5 number, since 5×100780188510080⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100780188510083) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 78734521634 + ... + 78734522913.

Almost surely, 2^{100780188510080} is an apocalyptic number.

100780188510080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100780188510080 is an abundant number, since it is smaller than the sum of its proper divisors (140147449648360).

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

100780188510080 is an equidigital number, since it uses as much as digits as its factorization.

100780188510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157469044566 (or 157469044554 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 47.

The spelling of 100780188510080 in words is "one hundred trillion, seven hundred eighty billion, one hundred eighty-eight million, five hundred ten thousand, eighty".