Search a number
-
+
105052325 = 527312251
BaseRepresentation
bin1100100001011…
…11100010100101
321022200012200212
412100233202211
5203343133300
614231345205
72413634000
oct620574245
9238605625
10105052325
1154332404
122b222205
13189c2351
14dd48537
159351935
hex642f8a5

105052325 has 24 divisors (see below), whose sum is σ = 151924800. Its totient is φ = 72030000.

The previous prime is 105052319. The next prime is 105052331. The reversal of 105052325 is 523250501.

It is an interprime number because it is at equal distance from previous prime (105052319) and next prime (105052331).

It is not a de Polignac number, because 105052325 - 210 = 105051301 is a prime.

It is a super-2 number, since 2×1050523252 = 22071981975811250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105052325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2450 + ... + 14700.

It is an arithmetic number, because the mean of its divisors is an integer number (6330200).

Almost surely, 2105052325 is an apocalyptic number.

It is an amenable number.

105052325 is a deficient number, since it is larger than the sum of its proper divisors (46872475).

105052325 is an equidigital number, since it uses as much as digits as its factorization.

105052325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 105052325 is about 10249.5036465187. The cubic root of 105052325 is about 471.8477511567.

The spelling of 105052325 in words is "one hundred five million, fifty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 8575 12251 61255 85757 306275 428785 600299 2143925 3001495 4202093 15007475 21010465 105052325