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106325505 = 325111323141
BaseRepresentation
bin1100101011001…
…10011000000001
321102001220011200
412111212120001
5204204404010
614314531413
72430515616
oct625463001
9242056150
10106325505
1155021a20
122b736b69
1319049a00
141019a50d
159503cc0
hex6566601

106325505 has 144 divisors (see below), whose sum is σ = 230211072. Its totient is φ = 44928000.

The previous prime is 106325503. The next prime is 106325507. The reversal of 106325505 is 505523601.

106325505 is a `hidden beast` number, since 106 + 3 + 2 + 550 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106325503) and next prime (106325507).

It is not a de Polignac number, because 106325505 - 21 = 106325503 is a prime.

It is a super-2 number, since 2×1063255052 = 22610226027010050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106325503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2593285 + ... + 2593325.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2106325505 is an apocalyptic number.

106325505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106325505 is an abundant number, since it is smaller than the sum of its proper divisors (123885567).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106325505 is a wasteful number, since it uses less digits than its factorization.

106325505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 106325505 is about 10311.4259440681. The cubic root of 106325505 is about 473.7462857342.

The spelling of 106325505 in words is "one hundred six million, three hundred twenty-five thousand, five hundred five".

Divisors: 1 3 5 9 11 13 15 31 33 39 41 45 55 65 93 99 117 123 143 155 165 169 195 205 279 341 369 403 429 451 465 495 507 533 585 615 715 845 1023 1209 1271 1287 1353 1395 1521 1599 1705 1845 1859 2015 2145 2255 2535 2665 3069 3627 3813 4059 4433 4797 5115 5239 5577 5863 6045 6355 6435 6765 6929 7605 7995 9295 11439 13299 13981 15345 15717 16523 16731 17589 18135 19065 20295 20787 22165 23985 26195 27885 29315 34645 39897 41943 47151 49569 52767 57195 57629 62361 66495 69905 76219 78585 82615 83655 87945 103935 125829 148707 172887 181753 199485 209715 214799 228657 235755 247845 263835 288145 311805 381095 518661 545259 629145 644397 685971 743535 864435 908765 1073995 1143285 1635777 1933191 2362789 2593305 2726295 3221985 3429855 7088367 8178885 9665955 11813945 21265101 35441835 106325505