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106135630 = 2531342373
BaseRepresentation
bin1100101001110…
…00000001001110
321101201020201021
412110320001032
5204132320010
614310504354
72426065216
oct624700116
9241636637
10106135630
1154a022a7
122b6650ba
1318cb1463
141014b246
1594b78da
hex653804e

106135630 has 16 divisors (see below), whose sum is σ = 197207424. Its totient is φ = 41084640.

The previous prime is 106135619. The next prime is 106135637. The reversal of 106135630 is 36531601.

It is a super-3 number, since 3×1061356303 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106135595 and 106135604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106135637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170877 + ... + 171496.

It is an arithmetic number, because the mean of its divisors is an integer number (12325464).

Almost surely, 2106135630 is an apocalyptic number.

106135630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106135630 is a deficient number, since it is larger than the sum of its proper divisors (91071794).

106135630 is a wasteful number, since it uses less digits than its factorization.

106135630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342411.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 106135630 is about 10302.2148104182. The cubic root of 106135630 is about 473.4641139428.

The spelling of 106135630 in words is "one hundred six million, one hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 5 10 31 62 155 310 342373 684746 1711865 3423730 10613563 21227126 53067815 106135630