105306052 has 24 divisors (see below), whose sum is σ = 194745600. Its totient is φ = 49722816.

The previous prime is 105306049. The next prime is 105306059. The reversal of 105306052 is 250603501.

It is a happy number.

It is a super-3 number, since 3×105306052³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105306059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 14512.

It is an arithmetic number, because the mean of its divisors is an integer number (8114400).

Almost surely, 2^105306052 is an apocalyptic number.

It is an amenable number.

105306052 is a deficient number, since it is larger than the sum of its proper divisors (89439548).

105306052 is a wasteful number, since it uses less digits than its factorization.

105306052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14595 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105306052 is about 10261.8737080516. The cubic root of 105306052 is about 472.2273215556.

Adding to 105306052 its reverse (250603501), we get a palindrome (355909553).

The spelling of 105306052 in words is "one hundred five million, three hundred six thousand, fifty-two".