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106297884 = 2232711311237
BaseRepresentation
bin1100101010111…
…11101000011100
321102000111021200
412111133220130
5204203013014
614314155500
72430342240
oct625375034
9242014250
10106297884
11550031a0
122b722b90
131903a274
1410190420
1594eaa09
hex655fa1c

106297884 has 144 divisors (see below), whose sum is σ = 346085376. Its totient is φ = 26697600.

The previous prime is 106297883. The next prime is 106297901. The reversal of 106297884 is 488792601.

106297884 is a `hidden beast` number, since 10 + 629 + 7 + 8 + 8 + 4 = 666.

It is a super-2 number, since 2×1062978842 = 22598480285754912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106297883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85314 + ... + 86550.

Almost surely, 2106297884 is an apocalyptic number.

106297884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106297884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173042688).

106297884 is an abundant number, since it is smaller than the sum of its proper divisors (239787492).

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

106297884 is a wasteful number, since it uses less digits than its factorization.

106297884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 106297884 is about 10310.0865175807. The cubic root of 106297884 is about 473.7052592674.

The spelling of 106297884 in words is "one hundred six million, two hundred ninety-seven thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1237 1302 1364 1386 1953 2046 2387 2474 2604 2772 3069 3711 3906 4092 4774 4948 6138 7161 7422 7812 8659 9548 11133 12276 13607 14322 14844 17318 21483 22266 25977 27214 28644 34636 38347 40821 42966 44532 51954 54428 76694 77931 81642 85932 95249 103908 115041 122463 153388 155862 163284 190498 230082 244926 268429 285747 311724 345123 380996 421817 460164 489852 536858 571494 690246 805287 843634 857241 1073716 1142988 1265451 1380492 1610574 1687268 1714482 2415861 2530902 2952719 3221148 3428964 3796353 4831722 5061804 5905438 7592706 8858157 9663444 11810876 15185412 17716314 26574471 35432628 53148942 106297884