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106380183 = 37131920509
BaseRepresentation
bin1100101011100…
…11101110010111
321102011200011210
412111303232113
5204213131213
614320032503
72431134210
oct625635627
9242150153
10106380183
115505a008
122b762733
1319068870
14101b2407
1595150c3
hex6573b97

106380183 has 32 divisors (see below), whose sum is σ = 183769600. Its totient is φ = 53156736.

The previous prime is 106380179. The next prime is 106380193. The reversal of 106380183 is 381083601.

It is not a de Polignac number, because 106380183 - 22 = 106380179 is a prime.

It is a super-2 number, since 2×1063801832 = 22633486670226978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106380183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106380103) 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 31 ways as a sum of consecutive naturals, for example, 5068 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (5742800).

Almost surely, 2106380183 is an apocalyptic number.

106380183 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106380183 is a deficient number, since it is larger than the sum of its proper divisors (77389417).

106380183 is a wasteful number, since it uses less digits than its factorization.

106380183 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20551.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106380183 is about 10314.0769339772. The cubic root of 106380183 is about 473.8274799889.

The spelling of 106380183 in words is "one hundred six million, three hundred eighty thousand, one hundred eighty-three".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1729 5187 20509 61527 143563 266617 389671 430689 799851 1169013 1866319 2727697 5065723 5598957 8183091 15197169 35460061 106380183