Search a number
-
+
106220329 = 477383373
BaseRepresentation
bin1100101010011…
…00101100101001
321101212112220021
412111030230221
5204143022304
614312400441
72426600155
oct625145451
9241775807
10106220329
1154a5a9a6
122b6a6121
1319010b87
1410170065
1594d2a54
hex654cb29

106220329 has 16 divisors (see below), whose sum is σ = 111589632. Its totient is φ = 101029248.

The previous prime is 106220327. The next prime is 106220333. The reversal of 106220329 is 923022601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106220329 - 21 = 106220327 is a prime.

It is a super-2 number, since 2×1062203292 = 22565516585736482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106220327) 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 15 ways as a sum of consecutive naturals, for example, 284587 + ... + 284959.

It is an arithmetic number, because the mean of its divisors is an integer number (6974352).

Almost surely, 2106220329 is an apocalyptic number.

It is an amenable number.

106220329 is a deficient number, since it is larger than the sum of its proper divisors (5369303).

106220329 is an equidigital number, since it uses as much as digits as its factorization.

106220329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 106220329 is about 10306.3247086437. The cubic root of 106220329 is about 473.5900260242.

The spelling of 106220329 in words is "one hundred six million, two hundred twenty thousand, three hundred twenty-nine".

Divisors: 1 47 73 83 373 3431 3901 6059 17531 27229 30959 284773 1279763 1455073 2260007 106220329