100016 has 40 divisors (see below), whose sum is σ = 238080. Its totient is φ = 39744.

The previous prime is 100003. The next prime is 100019. The reversal of 100016 is 610001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 99976 and 100012.

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 100016.

It is not an unprimeable number, because it can be changed into a prime (100019) by changing a digit.

100016 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2105 + ... + 2151.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2¹⁰⁰⁰¹⁶ is an apocalyptic number.

100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

100016 is an abundant number, since it is smaller than the sum of its proper divisors (138064).

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

100016 is a wasteful number, since it uses less digits than its factorization.

100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100016 is about 316.2530632263. The cubic root of 100016 is about 46.4183637182.

Adding to 100016 its reverse (610001), we get a palindrome (710017).

It can be divided in two parts, 10001 and 6, that multiplied together give a palindrome (60006).

The spelling of 100016 in words is "one hundred thousand, sixteen".