Search a number
-
+
106006126 = 22359139281
BaseRepresentation
bin1100101000110…
…00011001101110
321101110200001211
412110120121232
5204114144001
614304025034
72425015522
oct624303156
9241420054
10106006126
1154923a76
122b60217a
1318c67525
1410115d82
15948e351
hex651866e

106006126 has 32 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 49304640.

The previous prime is 106006099. The next prime is 106006129. The reversal of 106006126 is 621600601.

It is a super-2 number, since 2×1060061262 = 22474597499055752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006097 and 106006106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006129) 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, 377106 + ... + 377386.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2106006126 is an apocalyptic number.

106006126 is a deficient number, since it is larger than the sum of its proper divisors (64547474).

106006126 is a wasteful number, since it uses less digits than its factorization.

106006126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106006126 is about 10295.9276415484. The cubic root of 106006126 is about 473.2714659380.

Adding to 106006126 its reverse (621600601), we get a palindrome (727606727).

The spelling of 106006126 in words is "one hundred six million, six thousand, one hundred twenty-six".

Divisors: 1 2 23 46 59 118 139 278 281 562 1357 2714 3197 6394 6463 8201 12926 16402 16579 33158 39059 78118 188623 377246 381317 762634 898357 1796714 2304481 4608962 53003063 106006126