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105331086 = 23272307389
BaseRepresentation
bin1100100011100…
…11100110001110
321100012101002100
412101303212032
5203431043321
614241335530
72416204500
oct621634616
9240171070
10105331086
1154502893
122b3375a6
1318a8c1b3
14ddbbd70
1593a9326
hex647398e

105331086 has 72 divisors (see below), whose sum is σ = 267026760. Its totient is φ = 29919456.

The previous prime is 105331081. The next prime is 105331129. The reversal of 105331086 is 680133501.

It is a super-2 number, since 2×1053310862 = 22189275355878792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270580 + ... + 270968.

It is an arithmetic number, because the mean of its divisors is an integer number (3708705).

Almost surely, 2105331086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105331086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133513380).

105331086 is an abundant number, since it is smaller than the sum of its proper divisors (161695674).

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

105331086 is a wasteful number, since it uses less digits than its factorization.

105331086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105331086 is about 10263.0933933196. The cubic root of 105331086 is about 472.2647388483.

Adding to 105331086 its reverse (680133501), we get a palindrome (785464587).

The spelling of 105331086 in words is "one hundred five million, three hundred thirty-one thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 307 389 441 614 778 882 921 1167 1842 2149 2334 2723 2763 3501 4298 5446 5526 6447 7002 8169 12894 15043 16338 19061 19341 24507 30086 38122 38682 45129 49014 57183 90258 114366 119423 135387 171549 238846 270774 343098 358269 716538 835961 1074807 1671922 2149614 2507883 5015766 5851727 7523649 11703454 15047298 17555181 35110362 52665543 105331086