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106140132 = 2234753883
BaseRepresentation
bin1100101001110…
…01000111100100
321101201110220000
412110321013210
5204132441012
614310541300
72426114310
oct624710744
9241643800
10106140132
1154a0571a
122b667830
1318cb3517
141014cb40
1594b8ddc
hex65391e4

106140132 has 120 divisors (see below), whose sum is σ = 323459136. Its totient is φ = 29719872.

The previous prime is 106140107. The next prime is 106140143. The reversal of 106140132 is 231041601.

It is a happy number.

It is a super-2 number, since 2×1061401322 = 22531455241954848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 119763 + ... + 120645.

Almost surely, 2106140132 is an apocalyptic number.

106140132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161729568).

106140132 is an abundant number, since it is smaller than the sum of its proper divisors (217319004).

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

106140132 is a wasteful number, since it uses less digits than its factorization.

106140132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106140132 is about 10302.4333048072. The cubic root of 106140132 is about 473.4708082242.

Adding to 106140132 its reverse (231041601), we get a palindrome (337181733).

The spelling of 106140132 in words is "one hundred six million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 883 954 1113 1134 1431 1484 1766 1908 2226 2268 2649 2862 3339 3532 4293 4452 5298 5724 6181 6678 7947 8586 10017 10596 12362 13356 15894 17172 18543 20034 23841 24724 30051 31788 37086 40068 46799 47682 55629 60102 71523 74172 93598 95364 111258 120204 140397 143046 166887 187196 222516 280794 286092 327593 333774 421191 500661 561588 655186 667548 842382 982779 1001322 1263573 1310372 1684764 1965558 2002644 2527146 2948337 3790719 3931116 5054292 5896674 7581438 8845011 11793348 15162876 17690022 26535033 35380044 53070066 106140132