100116170 has 32 divisors (see below), whose sum is σ = 224678016. Its totient is φ = 31204800.

The previous prime is 100116161. The next prime is 100116193. The reversal of 100116170 is 71611001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64241 + ... + 65780.

It is an arithmetic number, because the mean of its divisors is an integer number (7021188).

Almost surely, 2^100116170 is an apocalyptic number.

100116170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100116170 is an abundant number, since it is smaller than the sum of its proper divisors (124561846).

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

100116170 is a wasteful number, since it uses less digits than its factorization.

100116170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130046.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 100116170 is about 10005.8068140455. The cubic root of 100116170 is about 464.3385515973.

Adding to 100116170 its reverse (71611001), we get a palindrome (171727171).

It can be divided in two parts, 1001 and 16170, that added together give a palindrome (17171).

The spelling of 100116170 in words is "one hundred million, one hundred sixteen thousand, one hundred seventy".