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106300614 = 2372819007
BaseRepresentation
bin1100101011000…
…00010011000110
321102000122000210
412111200103012
5204203104424
614314220250
72430353220
oct625402306
9242018023
10106300614
1155005252
122b724686
131903b594
1410191410
1594eb729
hex65604c6

106300614 has 32 divisors (see below), whose sum is σ = 243864576. Its totient is φ = 30260160.

The previous prime is 106300603. The next prime is 106300619. The reversal of 106300614 is 416003601.

It is a super-2 number, since 2×1063006142 = 22599641073553992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106300619) 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 15 ways as a sum of consecutive naturals, for example, 7299 + ... + 16305.

It is an arithmetic number, because the mean of its divisors is an integer number (7620768).

Almost surely, 2106300614 is an apocalyptic number.

106300614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106300614 is an abundant number, since it is smaller than the sum of its proper divisors (137563962).

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

106300614 is a wasteful number, since it uses less digits than its factorization.

106300614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106300614 is about 10310.2189113520. The cubic root of 106300614 is about 473.7093145513.

The spelling of 106300614 in words is "one hundred six million, three hundred thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 281 562 843 1686 1967 3934 5901 9007 11802 18014 27021 54042 63049 126098 189147 378294 2530967 5061934 7592901 15185802 17716769 35433538 53150307 106300614