100116 has 36 divisors (see below), whose sum is σ = 264992. Its totient is φ = 33048.

The previous prime is 100109. The next prime is 100129. The reversal of 100116 is 611001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100098 and 100107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100116.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 921 + ... + 1023.

2¹⁰⁰¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132496).

100116 is an abundant number, since it is smaller than the sum of its proper divisors (164876).

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

100116 is a wasteful number, since it uses less digits than its factorization.

100116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100116 is about 316.4111249624. The cubic root of 100116 is about 46.4338288777.

Adding to 100116 its reverse (611001), we get a palindrome (711117).

It can be divided in two parts, 100 and 116, that added together give a cube (216 = 6³).

The spelling of 100116 in words is "one hundred thousand, one hundred sixteen".