100716 has 48 divisors (see below), whose sum is σ = 295680. Its totient is φ = 25920.

The previous prime is 100703. The next prime is 100733. The reversal of 100716 is 617001.

It is a junction number, because it is equal to n+sod(n) for n = 100695 and 100704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2¹⁰⁰⁷¹⁶ 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 100716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840).

100716 is an abundant number, since it is smaller than the sum of its proper divisors (194964).

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

100716 is a wasteful number, since it uses less digits than its factorization.

100716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 100716 is about 317.3578421908. The cubic root of 100716 is about 46.5264042432.

Adding to 100716 its reverse (617001), we get a palindrome (717717).

The spelling of 100716 in words is "one hundred thousand, seven hundred sixteen".