106012 has 12 divisors (see below), whose sum is σ = 196560. Its totient is φ = 49856.

The previous prime is 105997. The next prime is 106013. The reversal of 106012 is 210601.

It is a super-2 number, since 2×106012² = 22477088288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106013) by changing a digit.

106012 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, 712 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹⁰⁶⁰¹² is an apocalyptic number.

It is an amenable number.

106012 is a deficient number, since it is larger than the sum of its proper divisors (90548).

106012 is a wasteful number, since it uses less digits than its factorization.

106012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 106012 is about 325.5948402540. The cubic root of 106012 is about 47.3280207399.

Adding to 106012 its reverse (210601), we get a palindrome (316613).

It can be divided in two parts, 1060 and 12, that multiplied together give a triangular number (12720 = T₁₅₉).

The spelling of 106012 in words is "one hundred six thousand, twelve".