106013 has 2 divisors, whose sum is σ = 106014. Its totient is φ = 106012.

The previous prime is 105997. The next prime is 106019. The reversal of 106013 is 310601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85849 + 20164 = 293^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 106013 - 2⁴ = 105997 is a prime.

It is a super-2 number, since 2×106013² = 22477512338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105985 and 106003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53006 + 53007.

It is an arithmetic number, because the mean of its divisors is an integer number (53007).

2¹⁰⁶⁰¹³ is an apocalyptic number.

It is an amenable number.

106013 is a deficient number, since it is larger than the sum of its proper divisors (1).

106013 is an equidigital number, since it uses as much as digits as its factorization.

106013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 106013 is about 325.5963759012. The cubic root of 106013 is about 47.3281695528.

Adding to 106013 its reverse (310601), we get a palindrome (416614).

The spelling of 106013 in words is "one hundred six thousand, thirteen".