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106784670 = 23529122741
BaseRepresentation
bin1100101110101…
…10011110011110
321102221020000210
412113112132132
5204314102140
614332433250
72434440366
oct627263636
9242836023
10106784670
11553059a3
122b918826
131917a9c5
14102799a6
159594d80
hex65d679e

106784670 has 32 divisors (see below), whose sum is σ = 265122720. Its totient is φ = 27493760.

The previous prime is 106784647. The next prime is 106784683. The reversal of 106784670 is 76487601.

It is a super-2 number, since 2×1067846702 = 22805931494017800, which contains 22 as substring.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 60501 + ... + 62240.

It is an arithmetic number, because the mean of its divisors is an integer number (8285085).

Almost surely, 2106784670 is an apocalyptic number.

106784670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106784670 is an abundant number, since it is smaller than the sum of its proper divisors (158338050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106784670 is a wasteful number, since it uses less digits than its factorization.

106784670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122780.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 106784670 is about 10333.6668225756. Note that the first 3 decimals coincide. The cubic root of 106784670 is about 474.4272616750.

The spelling of 106784670 in words is "one hundred six million, seven hundred eighty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 122741 245482 368223 613705 736446 1227410 1841115 3559489 3682230 7118978 10678467 17797445 21356934 35594890 53392335 106784670