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106622165 = 513101109149
BaseRepresentation
bin1100101101011…
…10110011010101
321102121222010002
412112232303111
5204243402130
614325141045
72433162536
oct626566325
9242558102
10106622165
11552048a1
122b85a785
1319121a50
141023668d
159561b45
hex65aecd5

106622165 has 32 divisors (see below), whose sum is σ = 141372000. Its totient is φ = 76723200.

The previous prime is 106622161. The next prime is 106622189. The reversal of 106622165 is 561226601.

It can be written as a sum of positive squares in 16 ways, for example, as 22972849 + 83649316 = 4793^2 + 9146^2 .

It is not a de Polignac number, because 106622165 - 22 = 106622161 is a prime.

It is a super-3 number, since 3×1066221653 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106622161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715511 + ... + 715659.

It is an arithmetic number, because the mean of its divisors is an integer number (4417875).

Almost surely, 2106622165 is an apocalyptic number.

It is an amenable number.

106622165 is a deficient number, since it is larger than the sum of its proper divisors (34749835).

106622165 is a wasteful number, since it uses less digits than its factorization.

106622165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 106622165 is about 10325.8009374576. The cubic root of 106622165 is about 474.1864782245.

Adding to 106622165 its reverse (561226601), we get a palindrome (667848766).

The spelling of 106622165 in words is "one hundred six million, six hundred twenty-two thousand, one hundred sixty-five".

Divisors: 1 5 13 65 101 109 149 505 545 745 1313 1417 1937 6565 7085 9685 11009 15049 16241 55045 75245 81205 143117 195637 211133 715585 978185 1055665 1640341 8201705 21324433 106622165