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106890696 = 233211172467
BaseRepresentation
bin1100101111100…
…00010111001000
321110010121110200
412113300113020
5204331000241
614335012200
72435361453
oct627602710
9243117420
10106890696
1155378620
122b96a060
13191b7043
14102a649a
1595b64b6
hex65f05c8

106890696 has 144 divisors (see below), whose sum is σ = 336201840. Its totient is φ = 30420480.

The previous prime is 106890689. The next prime is 106890709. The reversal of 106890696 is 696098601.

It is a super-2 number, since 2×1068906962 = 22851241782728832, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 228655 + ... + 229121.

It is an arithmetic number, because the mean of its divisors is an integer number (2334735).

Almost surely, 2106890696 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 106890696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168100920).

106890696 is an abundant number, since it is smaller than the sum of its proper divisors (229311144).

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

106890696 is a wasteful number, since it uses less digits than its factorization.

106890696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 106890696 is about 10338.7956745455. The cubic root of 106890696 is about 474.5842286065.

The spelling of 106890696 in words is "one hundred six million, eight hundred ninety thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 289 306 374 396 408 467 561 578 612 748 792 867 934 1122 1156 1224 1401 1496 1683 1734 1868 2244 2312 2601 2802 3179 3366 3468 3736 4203 4488 5137 5202 5604 6358 6732 6936 7939 8406 9537 10274 10404 11208 12716 13464 15411 15878 16812 19074 20548 20808 23817 25432 28611 30822 31756 33624 38148 41096 46233 47634 57222 61644 63512 71451 76296 87329 92466 95268 114444 123288 134963 142902 174658 184932 190536 228888 261987 269926 285804 349316 369864 404889 523974 539852 571608 698632 785961 809778 1047948 1079704 1214667 1484593 1571922 1619556 2095896 2429334 2969186 3143844 3239112 4453779 4858668 5938372 6287688 8907558 9717336 11876744 13361337 17815116 26722674 35630232 53445348 106890696