106916 has 6 divisors (see below), whose sum is σ = 187110. Its totient is φ = 53456.

The previous prime is 106907. The next prime is 106921. The reversal of 106916 is 619601.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 10816 = 310^2 + 104^2 .

It is a super-2 number, since 2×106916² = 22862062112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106891 and 106900.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106916.

It is an unprimeable number.

106916 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 as a sum of consecutive naturals, namely, 13361 + ... + 13368.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2¹⁰⁶⁹¹⁶ is an apocalyptic number.

It is an amenable number.

106916 is a deficient number, since it is larger than the sum of its proper divisors (80194).

106916 is a wasteful number, since it uses less digits than its factorization.

106916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26733 (or 26731 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 106916 is about 326.9801217200. The cubic root of 106916 is about 47.4621674746.

It can be divided in two parts, 10691 and 6, that multiplied together give a palindrome (64146).

The spelling of 106916 in words is "one hundred six thousand, nine hundred sixteen".