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106765725 = 352111271019
BaseRepresentation
bin1100101110100…
…01110110011101
321102220021001010
412113101312131
5204313000400
614332205433
72434331223
oct627216635
9242807033
10106765725
11552a2740
122b909879
13191721b1
1410272b13
15958e450
hex65d1d9d

106765725 has 48 divisors (see below), whose sum is σ = 194273280. Its totient is φ = 51307200.

The previous prime is 106765723. The next prime is 106765741. The reversal of 106765725 is 527567601.

It is not a de Polignac number, because 106765725 - 21 = 106765723 is a prime.

It is a super-2 number, since 2×1067657252 = 22797840069551250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106765723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104266 + ... + 105284.

It is an arithmetic number, because the mean of its divisors is an integer number (4047360).

Almost surely, 2106765725 is an apocalyptic number.

106765725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106765725 is a deficient number, since it is larger than the sum of its proper divisors (87507555).

106765725 is a wasteful number, since it uses less digits than its factorization.

106765725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 106765725 is about 10332.7501179502. The cubic root of 106765725 is about 474.3992034776.

The spelling of 106765725 in words is "one hundred six million, seven hundred sixty-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 127 165 275 381 635 825 1019 1397 1905 3057 3175 4191 5095 6985 9525 11209 15285 20955 25475 33627 34925 56045 76425 104775 129413 168135 280225 388239 647065 840675 1423543 1941195 3235325 4270629 7117715 9705975 21353145 35588575 106765725