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106690836 = 22375232
BaseRepresentation
bin1100101101111…
…11100100010100
321102202110022110
412112333210110
5204303101321
614330431020
72433600000
oct626774424
9242673273
10106690836
115525144a
122b892470
1319147095
1410253700
159577176
hex65bf914

106690836 has 108 divisors (see below), whose sum is σ = 303610272. Its totient is φ = 29157744.

The previous prime is 106690819. The next prime is 106690847. The reversal of 106690836 is 638096601.

It is a happy number.

It is a super-2 number, since 2×1066908362 = 22765868972757792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106690794 and 106690803.

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, 4638721 + ... + 4638743.

Almost surely, 2106690836 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 106690836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151805136).

106690836 is an abundant number, since it is smaller than the sum of its proper divisors (196919436).

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

106690836 is an frugal number, since it uses more digits than its factorization.

106690836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 106690836 is about 10329.1256164305. The cubic root of 106690836 is about 474.2882577852.

The spelling of 106690836 in words is "one hundred six million, six hundred ninety thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 343 483 529 588 644 686 966 1029 1058 1127 1372 1587 1932 2058 2116 2254 2401 3174 3381 3703 4116 4508 4802 6348 6762 7203 7406 7889 9604 11109 13524 14406 14812 15778 16807 22218 23667 25921 28812 31556 33614 44436 47334 50421 51842 55223 67228 77763 94668 100842 103684 110446 155526 165669 181447 201684 220892 311052 331338 362894 386561 544341 662676 725788 773122 1088682 1159683 1270129 1546244 2177364 2319366 2540258 3810387 4638732 5080516 7620774 8890903 15241548 17781806 26672709 35563612 53345418 106690836