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106105683096 = 233272211142537
BaseRepresentation
bin110001011010001100…
…1000011110010011000
3101010212200120011212200
41202310121003302120
53214301023324341
6120424433010200
710444253265600
oct1426431036230
9333780504780
10106105683096
1140aa998a196
12186926b3960
13a00c75b98a
1451c7cddc00
152b6029adb6
hex18b4643c98

106105683096 has 144 divisors (see below), whose sum is σ = 335873692440. Its totient is φ = 30172020480.

The previous prime is 106105683091. The next prime is 106105683097. The reversal of 106105683096 is 690386501601.

It is a super-2 number, since 2×1061056830962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105683091) 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, 673140 + ... + 815676.

Almost surely, 2106105683096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106105683096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167936846220).

106105683096 is an abundant number, since it is smaller than the sum of its proper divisors (229768009344).

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

106105683096 is a wasteful number, since it uses less digits than its factorization.

106105683096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142774 (or 142760 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106105683096 in words is "one hundred six billion, one hundred five million, six hundred eighty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 211 252 294 392 422 441 504 588 633 844 882 1176 1266 1477 1688 1764 1899 2532 2954 3528 3798 4431 5064 5908 7596 8862 10339 11816 13293 15192 17724 20678 26586 31017 35448 41356 53172 62034 82712 93051 106344 124068 142537 186102 248136 285074 372204 427611 570148 744408 855222 997759 1140296 1282833 1710444 1995518 2565666 2993277 3420888 3991036 5131332 5986554 6984313 7982072 8979831 10262664 11973108 13968626 17959662 20952939 23946216 27937252 30075307 35919324 41905878 55874504 60150614 62858817 71838648 83811756 90225921 120301228 125717634 167623512 180451842 210527149 240602456 251435268 270677763 360903684 421054298 502870536 541355526 631581447 721807368 842108596 1082711052 1263162894 1473690043 1684217192 1894744341 2165422104 2526325788 2947380086 3789488682 4421070129 5052651576 5894760172 7578977364 8842140258 11789520344 13263210387 15157954728 17684280516 26526420774 35368561032 53052841548 106105683096