100517470427488 has 96 divisors (see below), whose sum is σ = 204465146296320. Its totient is φ = 48592812487680.

The previous prime is 100517470427441. The next prime is 100517470427527. The reversal of 100517470427488 is 884724074715001.

It is a super-2 number, since 2×100517470427488² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7712528620 + ... + 7712541652.

It is an arithmetic number, because the mean of its divisors is an integer number (2129845273920).

Almost surely, 2^{100517470427488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100517470427488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102232573148160).

100517470427488 is an abundant number, since it is smaller than the sum of its proper divisors (103947675868832).

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

100517470427488 is a wasteful number, since it uses less digits than its factorization.

100517470427488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19620 (or 19612 counting only the distinct ones).

The product of its (nonzero) digits is 14049280, while the sum is 58.

The spelling of 100517470427488 in words is "one hundred trillion, five hundred seventeen billion, four hundred seventy million, four hundred twenty-seven thousand, four hundred eighty-eight".