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106032276 = 22327331277
BaseRepresentation
bin1100101000111…
…10110010010100
321101111222221100
412110132302110
5204121013101
614304350100
72425155000
oct624366224
9241458840
10106032276
1154941689
122b615330
1318c763bc
1410121700
159496e86
hex651ec94

106032276 has 144 divisors (see below), whose sum is σ = 323814400. Its totient is φ = 29211840.

The previous prime is 106032271. The next prime is 106032287. The reversal of 106032276 is 672230601.

It is a happy number.

It is a super-2 number, since 2×1060322762 = 22485687107480352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106032271) 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 47 ways as a sum of consecutive naturals, for example, 382650 + ... + 382926.

Almost surely, 2106032276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106032276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161907200).

106032276 is an abundant number, since it is smaller than the sum of its proper divisors (217782124).

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

106032276 is a wasteful number, since it uses less digits than its factorization.

106032276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106032276 is about 10297.1974828106. The cubic root of 106032276 is about 473.3103788820.

Adding to 106032276 its reverse (672230601), we get a palindrome (778262877).

The spelling of 106032276 in words is "one hundred six million, thirty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 277 279 294 343 372 434 441 554 558 588 651 686 831 868 882 1029 1108 1116 1302 1372 1519 1662 1764 1939 1953 2058 2493 2604 3038 3087 3324 3878 3906 4116 4557 4986 5817 6076 6174 7756 7812 8587 9114 9972 10633 11634 12348 13573 13671 17174 17451 18228 21266 23268 25761 27146 27342 31899 34348 34902 40719 42532 51522 54292 54684 60109 63798 69804 77283 81438 95011 95697 103044 120218 122157 127596 154566 162876 180327 190022 191394 240436 244314 285033 309132 360654 380044 382788 420763 488628 540981 570066 721308 841526 855099 1081962 1140132 1262289 1683052 1710198 2163924 2524578 2945341 3420396 3786867 5049156 5890682 7573734 8836023 11781364 15147468 17672046 26508069 35344092 53016138 106032276