106612 has 12 divisors (see below), whose sum is σ = 203616. Its totient is φ = 48440.

The previous prime is 106591. The next prime is 106619. The reversal of 106612 is 216601.

106612 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×106612² = 22732237088, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106619) by changing a digit.

106612 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 3 ways as a sum of consecutive naturals, for example, 1168 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (16968).

2¹⁰⁶⁶¹² is an apocalyptic number.

It is an amenable number.

106612 is a deficient number, since it is larger than the sum of its proper divisors (97004).

106612 is a wasteful number, since it uses less digits than its factorization.

106612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 106612 is about 326.5149307459. The cubic root of 106612 is about 47.4171408629.

The spelling of 106612 in words is "one hundred six thousand, six hundred twelve".