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106597134 = 2347236167
BaseRepresentation
bin1100101101010…
…00101100001110
321102120200210000
412112220230032
5204242102014
614324425130
72433026550
oct626505416
9242520700
10106597134
1155198006
122b8481a6
1319113537
141022b4d0
159559509
hex65a8b0e

106597134 has 160 divisors (see below), whose sum is σ = 293838336. Its totient is φ = 28226880.

The previous prime is 106597109. The next prime is 106597147. The reversal of 106597134 is 431795601.

It is a super-2 number, since 2×1065971342 = 22725897954027912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1590969 + ... + 1591035.

Almost surely, 2106597134 is an apocalyptic number.

106597134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106597134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146919168).

106597134 is an abundant number, since it is smaller than the sum of its proper divisors (187241202).

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

106597134 is a wasteful number, since it uses less digits than its factorization.

106597134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106597134 is about 10324.5888053714. The cubic root of 106597134 is about 474.1493680836.

The spelling of 106597134 in words is "one hundred six million, five hundred ninety-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 61 63 67 69 81 122 126 134 138 161 162 183 189 201 207 322 366 378 402 414 427 469 483 549 567 603 621 854 938 966 1098 1134 1206 1242 1281 1403 1407 1449 1541 1647 1809 1863 2562 2806 2814 2898 3082 3294 3618 3726 3843 4087 4209 4221 4347 4623 4941 5427 7686 8174 8418 8442 8694 9246 9821 9882 10787 10854 11529 12261 12627 12663 13041 13869 19642 21574 23058 24522 25254 25326 26082 27738 28609 29463 32361 34587 36783 37881 37989 41607 57218 58926 64722 69174 73566 75762 75978 83214 85827 88389 94001 97083 110349 113643 124821 171654 176778 188002 194166 220698 227286 249642 257481 265167 282003 291249 331047 514962 530334 564006 582498 658007 662094 772443 795501 846009 873747 1316014 1544886 1591002 1692018 1747494 1974021 2317329 2538027 3948042 4634658 5076054 5922063 7614081 11844126 15228162 17766189 35532378 53298567 106597134