100617271136 has 96 divisors (see below), whose sum is σ = 211644407520. Its totient is φ = 46921752576.

The previous prime is 100617271087. The next prime is 100617271147. The reversal of 100617271136 is 631172716001.

100617271136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100617271096 and 100617271105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34491950 + ... + 34494866.

It is an arithmetic number, because the mean of its divisors is an integer number (2204629245).

Almost surely, 2^100617271136 is an apocalyptic number.

100617271136 is a gapful number since it is divisible by the number (16) 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 100617271136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105822203760).

100617271136 is an abundant number, since it is smaller than the sum of its proper divisors (111027136384).

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

100617271136 is a wasteful number, since it uses less digits than its factorization.

100617271136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

Adding to 100617271136 its reverse (631172716001), we get a palindrome (731789987137).

The spelling of 100617271136 in words is "one hundred billion, six hundred seventeen million, two hundred seventy-one thousand, one hundred thirty-six".