Search a number
-
+
106224325 = 529774349
BaseRepresentation
bin1100101010011…
…01101011000101
321101212202101021
412111031223011
5204143134300
614312431141
72426614624
oct625155305
9241782337
10106224325
1154a629a9
122b6a84b1
131901293c
14101716bb
1594d3d1a
hex654dac5

106224325 has 12 divisors (see below), whose sum is σ = 131883300. Its totient is φ = 84872960.

The previous prime is 106224323. The next prime is 106224331. The reversal of 106224325 is 523422601.

It can be written as a sum of positive squares in 6 ways, for example, as 3992004 + 102232321 = 1998^2 + 10111^2 .

It is not a de Polignac number, because 106224325 - 21 = 106224323 is a prime.

It is a super-2 number, since 2×1062243252 = 22567214443411250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 106224325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106224323) 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, 22251 + ... + 26599.

It is an arithmetic number, because the mean of its divisors is an integer number (10990275).

Almost surely, 2106224325 is an apocalyptic number.

It is an amenable number.

106224325 is a deficient number, since it is larger than the sum of its proper divisors (25658975).

106224325 is an equidigital number, since it uses as much as digits as its factorization.

106224325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 106224325 is about 10306.5185683625. The cubic root of 106224325 is about 473.5959647556.

Adding to 106224325 its reverse (523422601), we get a palindrome (629646926).

The spelling of 106224325 in words is "one hundred six million, two hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 5 25 977 4349 4885 21745 24425 108725 4248973 21244865 106224325