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106220205 = 32571325939
BaseRepresentation
bin1100101010011…
…00101010101101
321101212112201200
412111030222231
5204143021310
614312400113
72426566620
oct625145255
9241775650
10106220205
1154a5a8a3
122b6a6039
1319010ac0
141016ddb7
1594d29c0
hex654caad

106220205 has 48 divisors (see below), whose sum is σ = 226611840. Its totient is φ = 44820864.

The previous prime is 106220201. The next prime is 106220221. The reversal of 106220205 is 502022601.

It is not a de Polignac number, because 106220205 - 22 = 106220201 is a prime.

It is a super-2 number, since 2×1062202052 = 22565463900484050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106220201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8875 + ... + 17064.

It is an arithmetic number, because the mean of its divisors is an integer number (4721080).

Almost surely, 2106220205 is an apocalyptic number.

106220205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106220205 is an abundant number, since it is smaller than the sum of its proper divisors (120391635).

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

106220205 is a wasteful number, since it uses less digits than its factorization.

106220205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25970 (or 25967 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106220205 is about 10306.3186929184. The cubic root of 106220205 is about 473.5898417369.

Adding to 106220205 its reverse (502022601), we get a palindrome (608242806).

The spelling of 106220205 in words is "one hundred six million, two hundred twenty thousand, two hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 25939 77817 129695 181573 233451 337207 389085 544719 907865 1011621 1167255 1634157 1686035 2360449 2723595 3034863 5058105 7081347 8170785 11802245 15174315 21244041 35406735 106220205