105822125 has 8 divisors (see below), whose sum is σ = 132066168. Its totient is φ = 84657600.

The previous prime is 105822091. The next prime is 105822133. The reversal of 105822125 is 521228501.

It can be written as a sum of positive squares in 4 ways, for example, as 25020004 + 80802121 = 5002^2 + 8989^2 .

It is not a de Polignac number, because 105822125 - 2¹⁰ = 105821101 is a prime.

It is a super-2 number, since 2×105822125² = 22396644279031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105822094 and 105822103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423164 + ... + 423413.

It is an arithmetic number, because the mean of its divisors is an integer number (16508271).

Almost surely, 2^105822125 is an apocalyptic number.

It is an amenable number.

105822125 is a deficient number, since it is larger than the sum of its proper divisors (26244043).

105822125 is an frugal number, since it uses more digits than its factorization.

105822125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846592 (or 846582 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 105822125 is about 10286.9881403645. The cubic root of 105822125 is about 472.9974790796.

The spelling of 105822125 in words is "one hundred five million, eight hundred twenty-two thousand, one hundred twenty-five".