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106173135 = 3252359403
BaseRepresentation
bin1100101010000…
…01001011001111
321101210011011100
412111001023033
5204140020020
614311354143
72426312445
oct625011317
9241704140
10106173135
1154a284a2
122b682953
1318cc5553
141015ab95
1594c3a90
hex65412cf

106173135 has 12 divisors (see below), whose sum is σ = 184033512. Its totient is φ = 56625648.

The previous prime is 106173113. The next prime is 106173163. The reversal of 106173135 is 531371601.

106173135 is a `hidden beast` number, since 10 + 617 + 3 + 1 + 35 = 666.

It is not a de Polignac number, because 106173135 - 25 = 106173103 is a prime.

It is a super-2 number, since 2×1061731352 = 22545469191456450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106173099 and 106173108.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1179657 + ... + 1179746.

It is an arithmetic number, because the mean of its divisors is an integer number (15336126).

Almost surely, 2106173135 is an apocalyptic number.

106173135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106173135 is a deficient number, since it is larger than the sum of its proper divisors (77860377).

106173135 is a wasteful number, since it uses less digits than its factorization.

106173135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359414 (or 2359411 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 106173135 is about 10304.0348893043. The cubic root of 106173135 is about 473.5198764936.

The spelling of 106173135 in words is "one hundred six million, one hundred seventy-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 2359403 7078209 11797015 21234627 35391045 106173135