100916 has 6 divisors (see below), whose sum is σ = 176610. Its totient is φ = 50456.

The previous prime is 100913. The next prime is 100927. The reversal of 100916 is 619001.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 38416 = 250^2 + 196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100894 and 100903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12611 + ... + 12618.

It is an arithmetic number, because the mean of its divisors is an integer number (29435).

2¹⁰⁰⁹¹⁶ is an apocalyptic number.

It is an amenable number.

100916 is a deficient number, since it is larger than the sum of its proper divisors (75694).

100916 is a wasteful number, since it uses less digits than its factorization.

100916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25233 (or 25231 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 100916 is about 317.6727876290. The cubic root of 100916 is about 46.5571809758.

Adding to 100916 its reverse (619001), we get a palindrome (719917).

The spelling of 100916 in words is "one hundred thousand, nine hundred sixteen".