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106204161 = 3747107603
BaseRepresentation
bin1100101010010…
…00110000000001
321101211201201110
412111020300001
5204142013121
614312153533
72426502060
oct625106001
9241751643
10106204161
1154a49838
122b6988a9
13190066cb
14101681d7
1594ccd76
hex6548c01

106204161 has 16 divisors (see below), whose sum is σ = 165279744. Its totient is φ = 59396304.

The previous prime is 106204157. The next prime is 106204187. The reversal of 106204161 is 161402601.

It is not a de Polignac number, because 106204161 - 22 = 106204157 is a prime.

It is a super-3 number, since 3×1062041613 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106204141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52815 + ... + 54788.

It is an arithmetic number, because the mean of its divisors is an integer number (10329984).

Almost surely, 2106204161 is an apocalyptic number.

It is an amenable number.

106204161 is a deficient number, since it is larger than the sum of its proper divisors (59075583).

106204161 is a wasteful number, since it uses less digits than its factorization.

106204161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107660.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106204161 is about 10305.5403060684. The cubic root of 106204161 is about 473.5659961229.

Adding to 106204161 its reverse (161402601), we get a palindrome (267606762).

The spelling of 106204161 in words is "one hundred six million, two hundred four thousand, one hundred sixty-one".

Divisors: 1 3 7 21 47 141 329 987 107603 322809 753221 2259663 5057341 15172023 35401387 106204161