106015 has 16 divisors (see below), whose sum is σ = 157248. Its totient is φ = 66816.

The previous prime is 106013. The next prime is 106019. The reversal of 106015 is 510601.

106015 = T₁₁₆ + T₁₁₇ + ... + T₁₂₉.

It is a cyclic number.

It is not a de Polignac number, because 106015 - 2¹ = 106013 is a prime.

It is a super-2 number, since 2×106015² = 22478360450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 105986 and 106004.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹⁰⁶⁰¹⁵ is an apocalyptic number.

106015 is a deficient number, since it is larger than the sum of its proper divisors (51233).

106015 is a wasteful number, since it uses less digits than its factorization.

106015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 106015 is about 325.5994471740. The cubic root of 106015 is about 47.3284671759.

Adding to 106015 its reverse (510601), we get a palindrome (616616).

The spelling of 106015 in words is "one hundred six thousand, fifteen".