Search a number
-
+
106529589 = 3247251843
BaseRepresentation
bin1100101100110…
…00001100110101
321102110021010100
412112120030311
5204232421324
614323144313
72432325615
oct626301465
9242407110
10106529589
1155151291
122b815099
13190bb87a
1410210a45
1595444c9
hex6598335

106529589 has 12 divisors (see below), whose sum is σ = 157150656. Its totient is φ = 69508392.

The previous prime is 106529581. The next prime is 106529597. The reversal of 106529589 is 985925601.

106529589 is a `hidden beast` number, since 1 + 0 + 65 + 2 + 9 + 589 = 666.

It is an interprime number because it is at equal distance from previous prime (106529581) and next prime (106529597).

It is not a de Polignac number, because 106529589 - 23 = 106529581 is a prime.

It is a super-2 number, since 2×1065295892 = 22697106665017842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106529581) 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, 125499 + ... + 126344.

It is an arithmetic number, because the mean of its divisors is an integer number (13095888).

Almost surely, 2106529589 is an apocalyptic number.

It is an amenable number.

106529589 is a deficient number, since it is larger than the sum of its proper divisors (50621067).

106529589 is a wasteful number, since it uses less digits than its factorization.

106529589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251896 (or 251893 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 106529589 is about 10321.3172124492. The cubic root of 106529589 is about 474.0491990805.

The spelling of 106529589 in words is "one hundred six million, five hundred twenty-nine thousand, five hundred eighty-nine".

Divisors: 1 3 9 47 141 423 251843 755529 2266587 11836621 35509863 106529589