105312025 has 72 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 62576640.

The previous prime is 105312019. The next prime is 105312029. The reversal of 105312025 is 520213501.

It can be written as a sum of positive squares in 12 ways, for example, as 45914176 + 59397849 = 6776^2 + 7707^2 .

It is not a de Polignac number, because 105312025 - 2³ = 105312017 is a prime.

It is a super-2 number, since 2×105312025² = 22181245219201250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105311993 and 105312011.

It is not an unprimeable number, because it can be changed into a prime (105312029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270531 + ... + 270919.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^105312025 is an apocalyptic number.

It is an amenable number.

105312025 is a deficient number, since it is larger than the sum of its proper divisors (68348735).

105312025 is a wasteful number, since it uses less digits than its factorization.

105312025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105312025 is about 10262.1647326478. The cubic root of 105312025 is about 472.2362496922.

Adding to 105312025 its reverse (520213501), we get a palindrome (625525526).

The spelling of 105312025 in words is "one hundred five million, three hundred twelve thousand, twenty-five".