Search a number
-
+
102125225 = 527335573
BaseRepresentation
bin1100001011001…
…00111010101001
321010011111110202
412011210322221
5202121001400
614044521545
72350023116
oct605447251
9233144422
10102125225
1152713214
122a2502b5
1318208c37
14d7c590d
158e744d5
hex6164ea9

102125225 has 12 divisors (see below), whose sum is σ = 126830796. Its totient is φ = 81574080.

The previous prime is 102125213. The next prime is 102125227. The reversal of 102125225 is 522521201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1263376 + 100861849 = 1124^2 + 10043^2 .

It is not a de Polignac number, because 102125225 - 28 = 102124969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102125197 and 102125206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102125227) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15539 + ... + 21111.

It is an arithmetic number, because the mean of its divisors is an integer number (10569233).

Almost surely, 2102125225 is an apocalyptic number.

It is an amenable number.

102125225 is a deficient number, since it is larger than the sum of its proper divisors (24705571).

102125225 is an equidigital number, since it uses as much as digits as its factorization.

102125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 102125225 is about 10105.7025980384. The cubic root of 102125225 is about 467.4240012962.

Adding to 102125225 its reverse (522521201), we get a palindrome (624646426).

The spelling of 102125225 in words is "one hundred two million, one hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 733 3665 5573 18325 27865 139325 4085009 20425045 102125225