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106587331 = 1731414933
BaseRepresentation
bin1100101101001…
…10010011000011
321102120012022221
412112212103003
5204241243311
614324311511
72432656144
oct626462303
9242505287
10106587331
1155190704
122b842597
131910bc36
1410227acb
159556671
hex65a64c3

106587331 has 16 divisors (see below), whose sum is σ = 119363328. Its totient is φ = 94694400.

The previous prime is 106587329. The next prime is 106587337. The reversal of 106587331 is 133785601.

It is a cyclic number.

It is not a de Polignac number, because 106587331 - 21 = 106587329 is a prime.

It is a super-2 number, since 2×1065873312 = 22721718259407122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106587337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19141 + ... + 24073.

It is an arithmetic number, because the mean of its divisors is an integer number (7460208).

Almost surely, 2106587331 is an apocalyptic number.

106587331 is a deficient number, since it is larger than the sum of its proper divisors (12775997).

106587331 is a wasteful number, since it uses less digits than its factorization.

106587331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 106587331 is about 10324.1140540000. The cubic root of 106587331 is about 474.1348328938.

The spelling of 106587331 in words is "one hundred six million, five hundred eighty-seven thousand, three hundred thirty-one".

Divisors: 1 17 31 41 527 697 1271 4933 21607 83861 152923 202253 2599691 3438301 6269843 106587331