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106220118 = 23233771293
BaseRepresentation
bin1100101010011…
…00101001010110
321101212112121110
412111030221112
5204143020433
614312355450
72426566434
oct625145126
9241775543
10106220118
1154a5a824
122b6a5b86
1319010a54
141016dd54
1594d2963
hex654ca56

106220118 has 64 divisors (see below), whose sum is σ = 231662592. Its totient is φ = 32376960.

The previous prime is 106220111. The next prime is 106220123. The reversal of 106220118 is 811022601.

It is a super-2 number, since 2×1062201182 = 22565426935867848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106220094 and 106220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362380 + ... + 362672.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2106220118 is an apocalyptic number.

106220118 is an abundant number, since it is smaller than the sum of its proper divisors (125442474).

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

106220118 is a wasteful number, since it uses less digits than its factorization.

106220118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 106220118 is about 10306.3144722059. The cubic root of 106220118 is about 473.5897124384.

Adding to 106220118 its reverse (811022601), we get a palindrome (917242719).

The spelling of 106220118 in words is "one hundred six million, two hundred twenty thousand, one hundred eighteen".

Divisors: 1 2 3 6 23 37 46 69 71 74 111 138 142 213 222 293 426 586 851 879 1633 1702 1758 2553 2627 3266 4899 5106 5254 6739 7881 9798 10841 13478 15762 20217 20803 21682 32523 40434 41606 60421 62409 65046 120842 124818 181263 249343 362526 478469 498686 748029 769711 956938 1435407 1496058 1539422 2309133 2870814 4618266 17703353 35406706 53110059 106220118