105246 has 16 divisors (see below), whose sum is σ = 234000. Its totient is φ = 35064.

The previous prime is 105239. The next prime is 105251. The reversal of 105246 is 642501.

It is a happy number.

It is a super-2 number, since 2×105246² = 22153441032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (14625).

2¹⁰⁵²⁴⁶ is an apocalyptic number.

105246 is an abundant number, since it is smaller than the sum of its proper divisors (128754).

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

105246 is a wasteful number, since it uses less digits than its factorization.

105246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105246 is about 324.4163990923. The cubic root of 105246 is about 47.2137540114.

Adding to 105246 its reverse (642501), we get a palindrome (747747).

It can be divided in two parts, 105 and 246, that added together give a triangular number (351 = T₂₆).

The spelling of 105246 in words is "one hundred five thousand, two hundred forty-six".