105055252 has 12 divisors (see below), whose sum is σ = 184029300. Its totient is φ = 52475456.

The previous prime is 105055219. The next prime is 105055253. The reversal of 105055252 is 252550501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76282756 + 28772496 = 8734^2 + 5364^2 .

It is a super-2 number, since 2×105055252² = 22073211945567008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8323 + ... + 16714.

It is an arithmetic number, because the mean of its divisors is an integer number (15335775).

Almost surely, 2^105055252 is an apocalyptic number.

It is an amenable number.

105055252 is a deficient number, since it is larger than the sum of its proper divisors (78974048).

105055252 is a wasteful number, since it uses less digits than its factorization.

105055252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26090 (or 26088 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 105055252 is about 10249.6464329264. The cubic root of 105055252 is about 471.8521333714.

It can be divided in two parts, 10505 and 5252, that multiplied together give a triangular number (55172260 = T₁₀₅₀₄).

The spelling of 105055252 in words is "one hundred five million, fifty-five thousand, two hundred fifty-two".