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106347885 = 3572257563
BaseRepresentation
bin1100101011010…
…11110101101101
321102010000212120
412111223311231
5204211113020
614315223153
72430641100
oct625536555
9242100776
10106347885
1155037816
122b747ab9
1319056c57
14101a4737
15950a740
hex656bd6d

106347885 has 48 divisors (see below), whose sum is σ = 199060416. Its totient is φ = 48340992.

The previous prime is 106347877. The next prime is 106347979. The reversal of 106347885 is 588743601.

It is not a de Polignac number, because 106347885 - 23 = 106347877 is a prime.

It is a super-2 number, since 2×1063478852 = 22619745287946450, 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 47 ways as a sum of consecutive naturals, for example, 188614 + ... + 189176.

It is an arithmetic number, because the mean of its divisors is an integer number (4147092).

Almost surely, 2106347885 is an apocalyptic number.

106347885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106347885 is a deficient number, since it is larger than the sum of its proper divisors (92712531).

106347885 is a wasteful number, since it uses less digits than its factorization.

106347885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 106347885 is about 10312.5110909031. The cubic root of 106347885 is about 473.7795223444.

The spelling of 106347885 in words is "one hundred six million, three hundred forty-seven thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 257 563 735 771 1285 1689 1799 2815 3855 3941 5397 8445 8995 11823 12593 19705 26985 27587 37779 59115 62965 82761 137935 144691 188895 413805 434073 723455 1012837 2170365 3038511 5064185 7089859 15192555 21269577 35449295 106347885