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106422162 = 23711243487
BaseRepresentation
bin1100101011111…
…01111110010010
321102020210202120
412111331332102
5204221002122
614320555110
72431400460
oct625757622
9242223676
10106422162
1155088600
122b782a96
13190819c2
14101c3830
15952275c
hex657df92

106422162 has 96 divisors (see below), whose sum is σ = 274154496. Its totient is φ = 26943840.

The previous prime is 106422149. The next prime is 106422167. The reversal of 106422162 is 261224601.

It is a super-2 number, since 2×1064221622 = 22651353129508488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106422167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218283 + ... + 218769.

It is an arithmetic number, because the mean of its divisors is an integer number (2855776).

Almost surely, 2106422162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106422162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137077248).

106422162 is an abundant number, since it is smaller than the sum of its proper divisors (167732334).

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

106422162 is a wasteful number, since it uses less digits than its factorization.

106422162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106422162 is about 10316.1117675217. Note that the first 3 decimals coincide. The cubic root of 106422162 is about 473.8897979489.

Adding to 106422162 its reverse (261224601), we get a palindrome (367646763).

The spelling of 106422162 in words is "one hundred six million, four hundred twenty-two thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 121 129 154 231 242 258 301 363 462 473 487 602 726 847 903 946 974 1419 1461 1694 1806 2541 2838 2922 3311 3409 5082 5203 5357 6622 6818 9933 10227 10406 10714 15609 16071 19866 20454 20941 31218 32142 36421 37499 41882 58927 62823 72842 74998 109263 112497 117854 125646 146587 176781 218526 224994 230351 293174 353562 412489 439761 460702 691053 824978 879522 1237467 1382106 1612457 2474934 2533861 3224914 4837371 5067722 7601583 9674742 15203166 17737027 35474054 53211081 106422162