105166225 has 12 divisors (see below), whose sum is σ = 130601884. Its totient is φ = 84006720.

The previous prime is 105166223. The next prime is 105166241. The reversal of 105166225 is 522661501.

It can be written as a sum of positive squares in 6 ways, for example, as 3721041 + 101445184 = 1929^2 + 10072^2 .

It is not a de Polignac number, because 105166225 - 2¹ = 105166223 is a prime.

It is a super-2 number, since 2×105166225² = 22119869761501250, 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 = 105166193 and 105166202.

It is not an unprimeable number, because it can be changed into a prime (105166223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16147 + ... + 21703.

Almost surely, 2^105166225 is an apocalyptic number.

It is an amenable number.

105166225 is a deficient number, since it is larger than the sum of its proper divisors (25435659).

105166225 is an equidigital number, since it uses as much as digits as its factorization.

105166225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105166225 is about 10255.0585078780. The cubic root of 105166225 is about 472.0182187380.

It can be divided in two parts, 1051 and 66225, that added together give a palindrome (67276).

The spelling of 105166225 in words is "one hundred five million, one hundred sixty-six thousand, two hundred twenty-five".