100916161 has 4 divisors (see below), whose sum is σ = 100947924. Its totient is φ = 100884400.

The previous prime is 100916117. The next prime is 100916171. The reversal of 100916161 is 161619001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 161619001 = 29 ⋅5573069.

It can be written as a sum of positive squares in 2 ways, for example, as 91087936 + 9828225 = 9544^2 + 3135^2 .

It is a cyclic number.

It is not a de Polignac number, because 100916161 - 2⁹ = 100915649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100916171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10510 + ... + 17671.

It is an arithmetic number, because the mean of its divisors is an integer number (25236981).

Almost surely, 2^100916161 is an apocalyptic number.

It is an amenable number.

100916161 is a deficient number, since it is larger than the sum of its proper divisors (31763).

100916161 is an equidigital number, since it uses as much as digits as its factorization.

100916161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31762.

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 100916161 is about 10045.7036090062. The cubic root of 100916161 is about 465.5720573470.

The spelling of 100916161 in words is "one hundred million, nine hundred sixteen thousand, one hundred sixty-one".