105052 has 6 divisors (see below), whose sum is σ = 183848. Its totient is φ = 52524.

The previous prime is 105037. The next prime is 105071. The reversal of 105052 is 250501.

It is a super-2 number, since 2×105052² = 22071845408, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

105052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13128 + ... + 13135.

2¹⁰⁵⁰⁵² is an apocalyptic number.

It is an amenable number.

105052 is a deficient number, since it is larger than the sum of its proper divisors (78796).

105052 is a wasteful number, since it uses less digits than its factorization.

105052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26267 (or 26265 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105052 is about 324.1172627306. The cubic root of 105052 is about 47.1847264572.

Adding to 105052 its reverse (250501), we get a palindrome (355553).

The spelling of 105052 in words is "one hundred five thousand, fifty-two".