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106294086 = 233232612
BaseRepresentation
bin1100101010111…
…10101101000110
321102000022002000
412111132231012
5204202402321
614314130130
72430325203
oct625365506
9242008060
10106294086
1155000358
122b720946
1319038612
141018ccaa
1594e9826
hex655eb46

106294086 has 72 divisors (see below), whose sum is σ = 251039880. Its totient is φ = 33335280.

The previous prime is 106294079. The next prime is 106294091. The reversal of 106294086 is 680492601.

It is a super-2 number, since 2×1062940862 = 22596865437150792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106294086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1742496 + ... + 1742556.

It is an arithmetic number, because the mean of its divisors is an integer number (3486665).

Almost surely, 2106294086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106294086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125519940).

106294086 is an abundant number, since it is smaller than the sum of its proper divisors (144745794).

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

106294086 is an equidigital number, since it uses as much as digits as its factorization.

106294086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106294086 is about 10309.9023273744. The cubic root of 106294086 is about 473.6996174053.

The spelling of 106294086 in words is "one hundred six million, two hundred ninety-four thousand, eighty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 69 122 138 183 207 366 414 529 549 621 1058 1098 1242 1403 1587 1647 2806 3174 3294 3721 4209 4761 7442 8418 9522 11163 12627 14283 22326 25254 28566 32269 33489 37881 64538 66978 75762 85583 96807 100467 171166 193614 200934 256749 290421 513498 580842 770247 871263 1540494 1742526 1968409 2310741 3936818 4621482 5905227 11810454 17715681 35431362 53147043 106294086