106116 has 24 divisors (see below), whose sum is σ = 255360. Its totient is φ = 34272.

The previous prime is 106109. The next prime is 106121. The reversal of 106116 is 611601.

It is a super-2 number, since 2×106116² = 22521210912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106095 and 106104.

It is an unprimeable number.

106116 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 7 ways as a sum of consecutive naturals, for example, 325 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2¹⁰⁶¹¹⁶ is an apocalyptic number.

It is an amenable number.

106116 is an abundant number, since it is smaller than the sum of its proper divisors (149244).

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

106116 is a wasteful number, since it uses less digits than its factorization.

106116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 106116 is about 325.7545087946. The cubic root of 106116 is about 47.3434922760.

Adding to 106116 its reverse (611601), we get a palindrome (717717).

It can be divided in two parts, 106 and 116, that added together give a palindrome (222).

The spelling of 106116 in words is "one hundred six thousand, one hundred sixteen".