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106300035 = 3259112593
BaseRepresentation
bin1100101011000…
…00001010000011
321102000121020100
412111200022003
5204203100120
614314213443
72430351432
oct625401203
9242017210
10106300035
1155004876
122b724283
131903b23a
1410191119
1594eb490
hex6560283

106300035 has 24 divisors (see below), whose sum is σ = 184526784. Its totient is φ = 56609280.

The previous prime is 106299979. The next prime is 106300049. The reversal of 106300035 is 530003601.

106300035 is a `hidden beast` number, since 1 + 0 + 630 + 0 + 0 + 35 = 666.

It is not a de Polignac number, because 106300035 - 26 = 106299971 is a prime.

It is a super-2 number, since 2×1063000352 = 22599394882002450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106299990 and 106300017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39699 + ... + 42291.

It is an arithmetic number, because the mean of its divisors is an integer number (7688616).

Almost surely, 2106300035 is an apocalyptic number.

106300035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106300035 is a deficient number, since it is larger than the sum of its proper divisors (78226749).

106300035 is a wasteful number, since it uses less digits than its factorization.

106300035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 106300035 is about 10310.1908323755. The cubic root of 106300035 is about 473.7084544804.

Adding to 106300035 its reverse (530003601), we get a palindrome (636303636).

The spelling of 106300035 in words is "one hundred six million, three hundred thousand, thirty-five".

Divisors: 1 3 5 9 15 45 911 2593 2733 4555 7779 8199 12965 13665 23337 38895 40995 116685 2362223 7086669 11811115 21260007 35433345 106300035