106011 has 6 divisors (see below), whose sum is σ = 153140. Its totient is φ = 70668.

The previous prime is 105997. The next prime is 106013. The reversal of 106011 is 110601.

It is not a de Polignac number, because 106011 - 2⁷ = 105883 is a prime.

It is a super-2 number, since 2×106011² = 22476664242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11779 = 106011 / (1 + 0 + 6 + 0 + 1 + 1).

It is a Duffinian number.

106011 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 105984 and 106002.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5881 + ... + 5898.

2¹⁰⁶⁰¹¹ is an apocalyptic number.

106011 is a deficient number, since it is larger than the sum of its proper divisors (47129).

106011 is a wasteful number, since it uses less digits than its factorization.

106011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11782 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 106011 is about 325.5933045995. The cubic root of 106011 is about 47.3278719260.

Adding to 106011 its reverse (110601), we get a palindrome (216612).

The spelling of 106011 in words is "one hundred six thousand, eleven".