Search a number
-
+
106160166 = 2337253757
BaseRepresentation
bin1100101001111…
…10000000100110
321101202111101000
412110332000212
5204134111131
614311214130
72426226600
oct624760046
9241674330
10106160166
1154a19782
122b677346
1318cbc688
1410156170
1594bece6
hex653e026

106160166 has 96 divisors (see below), whose sum is σ = 279974880. Its totient is φ = 29719872.

The previous prime is 106160149. The next prime is 106160207. The reversal of 106160166 is 661061601.

It is a super-2 number, since 2×1061601662 = 22539961690295112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139860 + ... + 140616.

It is an arithmetic number, because the mean of its divisors is an integer number (2916405).

Almost surely, 2106160166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106160166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139987440).

106160166 is an abundant number, since it is smaller than the sum of its proper divisors (173814714).

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

106160166 is a wasteful number, since it uses less digits than its factorization.

106160166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106160166 is about 10303.4055535051. The cubic root of 106160166 is about 473.5005956296.

The spelling of 106160166 in words is "one hundred six million, one hundred sixty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 98 106 126 147 159 189 294 318 371 378 441 477 742 757 882 954 1113 1323 1431 1514 2226 2271 2597 2646 2862 3339 4542 5194 5299 6678 6813 7791 10017 10598 13626 15582 15897 20034 20439 23373 31794 37093 40121 40878 46746 47691 70119 74186 80242 95382 111279 120363 140238 143073 222558 240726 280847 286146 333837 361089 561694 667674 722178 842541 1001511 1083267 1685082 1965929 2003022 2166534 2527623 3931858 5055246 5897787 7582869 11795574 15165738 17693361 35386722 53080083 106160166