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106745805 = 32517139537
BaseRepresentation
bin1100101110011…
…00111111001101
321102212020201100
412113030333031
5204311331210
614331533313
72434216155
oct627147715
9242766640
10106745805
1155289781
122b8ba239
13191660ca
1410269765
1595885c0
hex65ccfcd

106745805 has 24 divisors (see below), whose sum is σ = 195911352. Its totient is φ = 53581824.

The previous prime is 106745753. The next prime is 106745861. The reversal of 106745805 is 508547601.

106745805 is a `hidden beast` number, since 1 + 0 + 6 + 74 + 580 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34257609 + 72488196 = 5853^2 + 8514^2 .

It is not a de Polignac number, because 106745805 - 27 = 106745677 is a prime.

It is a super-2 number, since 2×1067458052 = 22789333770196050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106745805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69004 + ... + 70533.

It is an arithmetic number, because the mean of its divisors is an integer number (8162973).

Almost surely, 2106745805 is an apocalyptic number.

106745805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106745805 is a deficient number, since it is larger than the sum of its proper divisors (89165547).

106745805 is a wasteful number, since it uses less digits than its factorization.

106745805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139565 (or 139562 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 106745805 is about 10331.7861476126. The cubic root of 106745805 is about 474.3696976916.

The spelling of 106745805 in words is "one hundred six million, seven hundred forty-five thousand, eight hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 139537 418611 697685 1255833 2093055 2372129 6279165 7116387 11860645 21349161 35581935 106745805