106712 has 8 divisors (see below), whose sum is σ = 200100. Its totient is φ = 53352.

The previous prime is 106703. The next prime is 106721. The reversal of 106712 is 217601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106703) and next prime (106721).

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×106712² = 22774901888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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, 6662 + ... + 6677.

2¹⁰⁶⁷¹² is an apocalyptic number.

It is an amenable number.

106712 is a deficient number, since it is larger than the sum of its proper divisors (93388).

106712 is a wasteful number, since it uses less digits than its factorization.

106712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 106712 is about 326.6680272081. The cubic root of 106712 is about 47.4319616845.

Subtracting 106712 from its reverse (217601), we obtain a square (110889 = 333²).

It can be divided in two parts, 106 and 712, that added together give a palindrome (818).

The spelling of 106712 in words is "one hundred six thousand, seven hundred twelve".