100886617 has 16 divisors (see below), whose sum is σ = 113021440. Its totient is φ = 89424000.

The previous prime is 100886603. The next prime is 100886627. The reversal of 100886617 is 716688001.

It is a cyclic number.

It is not a de Polignac number, because 100886617 - 2¹¹ = 100884569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100886627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55117 + ... + 56917.

It is an arithmetic number, because the mean of its divisors is an integer number (7063840).

Almost surely, 2^100886617 is an apocalyptic number.

It is an amenable number.

100886617 is a deficient number, since it is larger than the sum of its proper divisors (12134823).

100886617 is a wasteful number, since it uses less digits than its factorization.

100886617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 100886617 is about 10044.2330219883. The cubic root of 100886617 is about 465.5266196186.

The spelling of 100886617 in words is "one hundred million, eight hundred eighty-six thousand, six hundred seventeen".