105222052 has 12 divisors (see below), whose sum is σ = 198303196. Its totient is φ = 48564000.

The previous prime is 105222041. The next prime is 105222059. The reversal of 105222052 is 250222501.

It can be written as a sum of positive squares in 2 ways, for example, as 34762816 + 70459236 = 5896^2 + 8394^2 .

It is a super-2 number, since 2×105222052² = 22143360454181408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105222059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1011699 + ... + 1011802.

Almost surely, 2^105222052 is an apocalyptic number.

It is an amenable number.

105222052 is a deficient number, since it is larger than the sum of its proper divisors (93081144).

105222052 is a wasteful number, since it uses less digits than its factorization.

105222052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023518 (or 2023516 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 105222052 is about 10257.7800717309. The cubic root of 105222052 is about 472.1017268530.

Adding to 105222052 its reverse (250222501), we get a palindrome (355444553).

It can be divided in two parts, 1052 and 22052, that added together give a square (23104 = 152²).

The spelling of 105222052 in words is "one hundred five million, two hundred twenty-two thousand, fifty-two".