105185225 has 12 divisors (see below), whose sum is σ = 130587996. Its totient is φ = 84046080.

The previous prime is 105185221. The next prime is 105185299. The reversal of 105185225 is 522581501.

It can be written as a sum of positive squares in 6 ways, for example, as 491401 + 104693824 = 701^2 + 10232^2 .

It is not a de Polignac number, because 105185225 - 2² = 105185221 is a prime.

It is a super-3 number, since 3×105185225³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105185221) 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, 23789 + ... + 27861.

It is an arithmetic number, because the mean of its divisors is an integer number (10882333).

Almost surely, 2^105185225 is an apocalyptic number.

It is an amenable number.

105185225 is a deficient number, since it is larger than the sum of its proper divisors (25402771).

105185225 is a wasteful number, since it uses less digits than its factorization.

105185225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 105185225 is about 10255.9848381323. The cubic root of 105185225 is about 472.0466429655.

The spelling of 105185225 in words is "one hundred five million, one hundred eighty-five thousand, two hundred twenty-five".