Search a number
-
+
106119882 = 234111731113
BaseRepresentation
bin1100101001101…
…00001011001010
321101200110010000
412110310023022
5204131314012
614310303430
72426001261
oct624641312
9241613100
10106119882
11549a1490
122b657b76
1318ca723b
14101455d8
1594b2ddc
hex65342ca

106119882 has 160 divisors (see below), whose sum is σ = 286032384. Its totient is φ = 29030400.

The previous prime is 106119877. The next prime is 106119889. The reversal of 106119882 is 288911601.

It is a super-2 number, since 2×1061198822 = 22522858711387848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106119889) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 939058 + ... + 939170.

Almost surely, 2106119882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106119882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143016192).

106119882 is an abundant number, since it is smaller than the sum of its proper divisors (179912502).

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

106119882 is a wasteful number, since it uses less digits than its factorization.

106119882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 106119882 is about 10301.4504803935. The cubic root of 106119882 is about 473.4406958514.

The spelling of 106119882 in words is "one hundred six million, one hundred nineteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 31 33 34 51 54 62 66 81 93 99 102 113 153 162 186 187 198 226 279 297 306 339 341 374 459 527 558 561 594 678 682 837 891 918 1017 1023 1054 1122 1243 1377 1581 1674 1683 1782 1921 2034 2046 2486 2511 2754 3051 3069 3162 3366 3503 3729 3842 4743 5022 5049 5763 5797 6102 6138 7006 7458 9153 9207 9486 10098 10509 11187 11526 11594 14229 15147 17289 17391 18306 18414 21018 21131 22374 27621 28458 30294 31527 33561 34578 34782 38533 42262 42687 51867 52173 55242 59551 63054 63393 67122 77066 85374 94581 100683 103734 104346 115599 119102 126786 155601 156519 178653 189162 190179 201366 231198 283743 311202 313038 346797 357306 380358 469557 535959 567486 570537 655061 693594 939114 1040391 1071918 1141074 1310122 1607877 1711611 1965183 2080782 3121173 3215754 3423222 3930366 4823631 5895549 6242346 9647262 11791098 17686647 35373294 53059941 106119882