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105328098 = 232412592
BaseRepresentation
bin1100100011100…
…10110111100010
321100012012222200
412101302313202
5203430444343
614241314030
72416163001
oct621626742
9240165880
10105328098
1154500617
122b335916
1318a8aa25
14ddbac38
1593a84d3
hex6472de2

105328098 has 54 divisors (see below), whose sum is σ = 237944577. Its totient is φ = 33672480.

The previous prime is 105328051. The next prime is 105328103. The reversal of 105328098 is 890823501.

It can be written as a sum of positive squares in 2 ways, for example, as 75220929 + 30107169 = 8673^2 + 5487^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7257.

It is a super-2 number, since 2×1053280982 = 22188016456595208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1785193 + ... + 1785251.

Almost surely, 2105328098 is an apocalyptic number.

105328098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105328098 is an abundant number, since it is smaller than the sum of its proper divisors (132616479).

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

105328098 is an equidigital number, since it uses as much as digits as its factorization.

105328098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105328098 is about 10262.9478221416. The cubic root of 105328098 is about 472.2602731189.

The spelling of 105328098 in words is "one hundred five million, three hundred twenty-eight thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 41 59 82 118 123 177 246 354 369 531 738 1062 1681 2419 3362 3481 4838 5043 6962 7257 10086 10443 14514 15129 20886 21771 30258 31329 43542 62658 99179 142721 198358 285442 297537 428163 595074 856326 892611 1284489 1785222 2568978 5851561 11703122 17554683 35109366 52664049 105328098