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106784685 = 3257338999
BaseRepresentation
bin1100101110101…
…10011110101101
321102221020001100
412113112132231
5204314102220
614332433313
72434440420
oct627263655
9242836040
10106784685
1155305a07
122b918839
131917aa07
14102799b7
159594d90
hex65d67ad

106784685 has 24 divisors (see below), whose sum is σ = 211536000. Its totient is φ = 48815712.

The previous prime is 106784683. The next prime is 106784737. The reversal of 106784685 is 586487601.

It is a happy number.

It is not a de Polignac number, because 106784685 - 21 = 106784683 is a prime.

It is a super-2 number, since 2×1067846852 = 22805937901098450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 106784685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106784683) by changing a digit.

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, 169185 + ... + 169814.

It is an arithmetic number, because the mean of its divisors is an integer number (8814000).

Almost surely, 2106784685 is an apocalyptic number.

106784685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106784685 is a deficient number, since it is larger than the sum of its proper divisors (104751315).

106784685 is a wasteful number, since it uses less digits than its factorization.

106784685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339017 (or 339014 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 106784685 is about 10333.6675483586. The cubic root of 106784685 is about 474.4272838892.

The spelling of 106784685 in words is "one hundred six million, seven hundred eighty-four thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 338999 1016997 1694995 2372993 3050991 5084985 7118979 11864965 15254955 21356937 35594895 106784685