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106303785 = 3572612371
BaseRepresentation
bin1100101011000…
…01000100101001
321102000210101020
412111201010221
5204203210120
614314243053
72430365400
oct625410451
9242023336
10106303785
1155007675
122b726489
131903cb63
1410192637
1594ec640
hex6561129

106303785 has 48 divisors (see below), whose sum is σ = 201183552. Its totient is φ = 47779200.

The previous prime is 106303777. The next prime is 106303787. The reversal of 106303785 is 587303601.

It is a happy number.

It is not a de Polignac number, because 106303785 - 23 = 106303777 is a prime.

It is a super-2 number, since 2×1063037852 = 22600989410652450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106303787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43650 + ... + 46020.

It is an arithmetic number, because the mean of its divisors is an integer number (4191324).

Almost surely, 2106303785 is an apocalyptic number.

106303785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106303785 is a deficient number, since it is larger than the sum of its proper divisors (94879767).

106303785 is a wasteful number, since it uses less digits than its factorization.

106303785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106303785 is about 10310.3726896752. The cubic root of 106303785 is about 473.7140248323.

The spelling of 106303785 in words is "one hundred six million, three hundred three thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 49 61 105 147 183 245 305 427 735 915 1281 2135 2371 2989 6405 7113 8967 11855 14945 16597 35565 44835 49791 82985 116179 144631 248955 348537 433893 580895 723155 1012417 1742685 2169465 3037251 5062085 7086919 15186255 21260757 35434595 106303785