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106875345 = 35171073917
BaseRepresentation
bin1100101111011…
…00100111010001
321110002211102010
412113230213101
5204330002340
614334413133
72435265633
oct627544721
9243084363
10106875345
1155368035
122b9611a9
13191b0065
14102a0a53
1595b1b80
hex65ec9d1

106875345 has 32 divisors (see below), whose sum is σ = 182798208. Its totient is φ = 53132288.

The previous prime is 106875337. The next prime is 106875359. The reversal of 106875345 is 543578601.

It is a cyclic number.

It is not a de Polignac number, because 106875345 - 23 = 106875337 is a prime.

It is a super-2 number, since 2×1068753452 = 22844678737738050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25327 + ... + 29243.

It is an arithmetic number, because the mean of its divisors is an integer number (5712444).

Almost surely, 2106875345 is an apocalyptic number.

106875345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106875345 is a deficient number, since it is larger than the sum of its proper divisors (75922863).

106875345 is a wasteful number, since it uses less digits than its factorization.

106875345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 106875345 is about 10338.0532500080. The cubic root of 106875345 is about 474.5615085397.

The spelling of 106875345 in words is "one hundred six million, eight hundred seventy-five thousand, three hundred forty-five".

Divisors: 1 3 5 15 17 51 85 107 255 321 535 1605 1819 3917 5457 9095 11751 19585 27285 58755 66589 199767 332945 419119 998835 1257357 2095595 6286785 7125023 21375069 35625115 106875345