106716 has 12 divisors (see below), whose sum is σ = 249032. Its totient is φ = 35568.

The previous prime is 106703. The next prime is 106721. The reversal of 106716 is 617601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×106716² = 22776609312, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 106692 and 106701.

It is a congruent number.

It is an unprimeable number.

106716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4435 + ... + 4458.

2¹⁰⁶⁷¹⁶ is an apocalyptic number.

It is an amenable number.

106716 is an abundant number, since it is smaller than the sum of its proper divisors (142316).

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

106716 is a wasteful number, since it uses less digits than its factorization.

106716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106716 is about 326.6741495742. The cubic root of 106716 is about 47.4325543248.

The spelling of 106716 in words is "one hundred six thousand, seven hundred sixteen".