105300052 has 48 divisors (see below), whose sum is σ = 227908800. Its totient is φ = 41852160.

The previous prime is 105300043. The next prime is 105300053. The reversal of 105300052 is 250003501.

It is a super-2 number, since 2×105300052² = 22176201902405408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105299999 and 105300035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105300053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6024 + ... + 15712.

It is an arithmetic number, because the mean of its divisors is an integer number (4748100).

Almost surely, 2^105300052 is an apocalyptic number.

It is an amenable number.

105300052 is an abundant number, since it is smaller than the sum of its proper divisors (122608748).

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

105300052 is a wasteful number, since it uses less digits than its factorization.

105300052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9736 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105300052 is about 10261.5813596151. The cubic root of 105300052 is about 472.2183527208.

Adding to 105300052 its reverse (250003501), we get a palindrome (355303553).

The spelling of 105300052 in words is "one hundred five million, three hundred thousand, fifty-two".