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106786107 = 36372107
BaseRepresentation
bin1100101110101…
…10110100111011
321102221022000000
412113112310323
5204314123412
614332444043
72434444521
oct627266473
9242838000
10106786107
1155306a8a
122b919623
131917b55c
141027a311
1595954dc
hex65d6d3b

106786107 has 42 divisors (see below), whose sum is σ = 166087908. Its totient is φ = 68619312.

The previous prime is 106786093. The next prime is 106786123. The reversal of 106786107 is 701687601.

It is a happy number.

It is not a de Polignac number, because 106786107 - 211 = 106784059 is a prime.

It is a super-2 number, since 2×1067861072 = 22806545296430898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106786187) 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 41 ways as a sum of consecutive naturals, for example, 997948 + ... + 998054.

It is an arithmetic number, because the mean of its divisors is an integer number (3954474).

Almost surely, 2106786107 is an apocalyptic number.

106786107 is a deficient number, since it is larger than the sum of its proper divisors (59301801).

106786107 is an frugal number, since it uses more digits than its factorization.

106786107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 106786107 is about 10333.7363523558. The cubic root of 106786107 is about 474.4293897861.

The spelling of 106786107 in words is "one hundred six million, seven hundred eighty-six thousand, one hundred seven".

Divisors: 1 3 9 27 37 81 107 111 243 321 333 729 963 999 1369 2889 2997 3959 4107 8667 8991 11877 12321 26001 26973 35631 36963 78003 106893 110889 146483 320679 332667 439449 962037 998001 1318347 2886111 3955041 11865123 35595369 106786107