105523252 has 24 divisors (see below), whose sum is σ = 187878600. Its totient is φ = 51849216.

The previous prime is 105523237. The next prime is 105523261. The reversal of 105523252 is 252325501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 132496 + 105390756 = 364^2 + 10266^2 .

It is a super-3 number, since 3×105523252³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 113124 + ... + 114052.

It is an arithmetic number, because the mean of its divisors is an integer number (7828275).

Almost surely, 2^105523252 is an apocalyptic number.

It is an amenable number.

105523252 is a deficient number, since it is larger than the sum of its proper divisors (82355348).

105523252 is a wasteful number, since it uses less digits than its factorization.

105523252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105523252 is about 10272.4511193775. The cubic root of 105523252 is about 472.5517642494.

Adding to 105523252 its reverse (252325501), we get a palindrome (357848753).

The spelling of 105523252 in words is "one hundred five million, five hundred twenty-three thousand, two hundred fifty-two".