105066 has 24 divisors (see below), whose sum is σ = 245700. Its totient is φ = 32256.

The previous prime is 105037. The next prime is 105071. The reversal of 105066 is 660501.

It can be written as a sum of positive squares in 2 ways, for example, as 103041 + 2025 = 321^2 + 45^2 .

It is a super-2 number, since 2×105066² = 22077728712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 458.

2¹⁰⁵⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122850).

105066 is an abundant number, since it is smaller than the sum of its proper divisors (140634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105066 is a wasteful number, since it uses less digits than its factorization.

105066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105066 is about 324.1388591329. The cubic root of 105066 is about 47.1868224250.

Adding to 105066 its reverse (660501), we get a palindrome (765567).

It can be divided in two parts, 10506 and 6, that multiplied together give a palindrome (63036).

The spelling of 105066 in words is "one hundred five thousand, sixty-six".