105266 has 16 divisors (see below), whose sum is σ = 184704. Its totient is φ = 44064.

The previous prime is 105263. The next prime is 105269. The reversal of 105266 is 662501.

It is an interprime number because it is at equal distance from previous prime (105263) and next prime (105269).

It is a super-2 number, since 2×105266² = 22161861512, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (11544).

2¹⁰⁵²⁶⁶ is an apocalyptic number.

105266 is a deficient number, since it is larger than the sum of its proper divisors (79438).

105266 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 105266 = (615620)₇.

105266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105266 is about 324.4472222103. The cubic root of 105266 is about 47.2167445139.

Adding to 105266 its reverse (662501), we get a palindrome (767767).

The spelling of 105266 in words is "one hundred five thousand, two hundred sixty-six".