105326052 has 48 divisors (see below), whose sum is σ = 269680320. Its totient is φ = 31794048.

The previous prime is 105326051. The next prime is 105326069. The reversal of 105326052 is 250623501.

It is a super-2 number, since 2×105326052² = 22187154459813408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105326051) 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 15 ways as a sum of consecutive naturals, for example, 1899 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^105326052 is an apocalyptic number.

105326052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105326052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134840160).

105326052 is an abundant number, since it is smaller than the sum of its proper divisors (164354268).

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

105326052 is a wasteful number, since it uses less digits than its factorization.

105326052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812 (or 12810 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105326052 is about 10262.8481426941. The cubic root of 105326052 is about 472.2572152113.

Adding to 105326052 its reverse (250623501), we get a palindrome (355949553).

The spelling of 105326052 in words is "one hundred five million, three hundred twenty-six thousand, fifty-two".