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106761305 = 5713032341
BaseRepresentation
bin1100101110100…
…00110001011001
321102220000222102
412113100301121
5204312330210
614332133145
72434312310
oct627206131
9242800872
10106761305
115529a392
122b9071b5
1319170191
1410271277
15958cea5
hex65d0c59

106761305 has 16 divisors (see below), whose sum is σ = 146590464. Its totient is φ = 73120320.

The previous prime is 106761301. The next prime is 106761329. The reversal of 106761305 is 503167601.

It is not a de Polignac number, because 106761305 - 22 = 106761301 is a prime.

It is a super-2 number, since 2×1067613052 = 22795952490606050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106761301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44435 + ... + 46775.

It is an arithmetic number, because the mean of its divisors is an integer number (9161904).

Almost surely, 2106761305 is an apocalyptic number.

It is an amenable number.

106761305 is a deficient number, since it is larger than the sum of its proper divisors (39829159).

106761305 is a wasteful number, since it uses less digits than its factorization.

106761305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 106761305 is about 10332.5362326972. The cubic root of 106761305 is about 474.3926568279.

The spelling of 106761305 in words is "one hundred six million, seven hundred sixty-one thousand, three hundred five".

Divisors: 1 5 7 35 1303 2341 6515 9121 11705 16387 45605 81935 3050323 15251615 21352261 106761305