100590790014016 has 63 divisors (see below), whose sum is σ = 201099465894117. Its totient is φ = 49922819289600.

The previous prime is 100590790013977. The next prime is 100590790014017. The reversal of 100590790014016 is 610410097095001.

It is a happy number.

The square root of 100590790014016 is 10029496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59087509185600 + 41503280828416 = 7686840^2 + 6442304^2 .

It is a super-3 number, since 3×100590790014016³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100590790014017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10992323041 + ... + 10992332191.

Almost surely, 2^{100590790014016} is an apocalyptic number.

100590790014016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100590790014016 is the 10029496-th square number.

It is an amenable number.

100590790014016 is a deficient number, since it is larger than the sum of its proper divisors (100508675880101).

100590790014016 is an frugal number, since it uses more digits than its factorization.

100590790014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18588 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 100590790014016 in words is "one hundred trillion, five hundred ninety billion, seven hundred ninety million, fourteen thousand, sixteen".