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106122555 = 3457114183
BaseRepresentation
bin1100101001101…
…00110100111011
321101200120210000
412110310310323
5204131410210
614310324043
72426012130
oct624646473
9241616700
10106122555
11549a34a0
122b659623
1318ca8516
1410146587
1594b3ac0
hex6534d3b

106122555 has 160 divisors (see below), whose sum is σ = 245887488. Its totient is φ = 42508800.

The previous prime is 106122553. The next prime is 106122557. The reversal of 106122555 is 555221601.

106122555 is a `hidden beast` number, since 106 + 1 + 2 + 2 + 555 = 666.

It is an interprime number because it is at equal distance from previous prime (106122553) and next prime (106122557).

It is not a de Polignac number, because 106122555 - 21 = 106122553 is a prime.

It is a super-2 number, since 2×1061225552 = 22523993359456050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106122553) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1278544 + ... + 1278626.

Almost surely, 2106122555 is an apocalyptic number.

106122555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106122555 is an abundant number, since it is smaller than the sum of its proper divisors (139764933).

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

106122555 is a wasteful number, since it uses less digits than its factorization.

106122555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 106122555 is about 10301.5802185878. The cubic root of 106122555 is about 473.4446709040. Note that the first 3 decimals are identical.

The spelling of 106122555 in words is "one hundred six million, one hundred twenty-two thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 41 45 55 63 77 81 83 99 105 123 135 165 189 205 231 249 287 297 315 369 385 405 415 451 495 567 581 615 693 747 861 891 913 945 1107 1155 1245 1353 1435 1485 1743 1845 2079 2241 2255 2583 2739 2835 2905 3157 3321 3403 3465 3735 4059 4305 4455 4565 5229 5535 6237 6391 6723 6765 7749 8217 8715 9471 10209 10395 11205 12177 12915 13695 15687 15785 16605 17015 19173 20295 23247 23821 24651 26145 28413 30627 31185 31955 33615 36531 37433 38745 41085 47061 47355 51045 57519 60885 71463 73953 78435 85239 91881 95865 112299 116235 119105 123255 142065 153135 172557 182655 187165 214389 235305 255717 262031 275643 287595 336897 357315 369765 426195 459405 517671 561495 643167 786093 862785 1010691 1071945 1278585 1310155 1378215 1684485 1929501 2358279 2588355 3032073 3215835 3930465 5053455 7074837 9647505 11791395 15160365 21224511 35374185 106122555