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106163694 = 232721347197
BaseRepresentation
bin1100101001111…
…10110111101110
321101202200012200
412110332313232
5204134214234
614311242330
72426243100
oct624766756
9241680180
10106163694
1154a2139a
122b6793a6
1318cc1170
1410157570
1594c0d99
hex653edee

106163694 has 144 divisors (see below), whose sum is σ = 295783488. Its totient is φ = 27264384.

The previous prime is 106163663. The next prime is 106163749. The reversal of 106163694 is 496361601.

106163694 is a `hidden beast` number, since 1 + 0 + 616 + 36 + 9 + 4 = 666.

It is a super-2 number, since 2×1061636942 = 22541459847451272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 538804 + ... + 539000.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052).

Almost surely, 2106163694 is an apocalyptic number.

106163694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106163694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744).

106163694 is an abundant number, since it is smaller than the sum of its proper divisors (189619794).

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

106163694 is a wasteful number, since it uses less digits than its factorization.

106163694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106163694 is about 10303.5767576119. The cubic root of 106163694 is about 473.5058408224.

The spelling of 106163694 in words is "one hundred six million, one hundred sixty-three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 47 49 63 78 91 94 98 117 126 141 147 182 197 234 273 282 294 329 394 423 441 546 591 611 637 658 819 846 882 987 1182 1222 1274 1379 1638 1773 1833 1911 1974 2303 2561 2758 2961 3546 3666 3822 4137 4277 4606 5122 5499 5733 5922 6909 7683 8274 8554 9259 9653 10998 11466 12411 12831 13818 15366 17927 18518 19306 20727 23049 24822 25662 27777 28959 29939 35854 38493 41454 46098 53781 55554 57918 59878 64813 76986 83331 86877 89817 107562 120367 125489 129626 161343 166662 173754 179634 194439 240734 250978 269451 322686 361101 376467 388878 453691 538902 583317 722202 752934 842569 907382 1083303 1129401 1166634 1361073 1685138 2166606 2258802 2527707 2722146 4083219 5055414 5897983 7583121 8166438 11795966 15166242 17693949 35387898 53081847 106163694