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105943552 = 2911131447
BaseRepresentation
bin1100101000010…
…01001000000000
321101100111020021
412110021020000
5204110143202
614302423224
72424335221
oct624111000
9241314207
10105943552
1154890a60
122b591b14
1318c44bc0
14100db248
15947aa37
hex6509200

105943552 has 80 divisors (see below), whose sum is σ = 248859072. Its totient is φ = 44421120.

The previous prime is 105943517. The next prime is 105943571. The reversal of 105943552 is 255349501.

It is a super-2 number, since 2×1059435522 = 22448072420753408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72493 + ... + 73939.

Almost surely, 2105943552 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 105943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124429536).

105943552 is an abundant number, since it is smaller than the sum of its proper divisors (142915520).

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

105943552 is a wasteful number, since it uses less digits than its factorization.

105943552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 105943552 is about 10292.8884187093. Note that the first 3 decimals coincide. The cubic root of 105943552 is about 473.1783256679.

The spelling of 105943552 in words is "one hundred five million, nine hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1144 1408 1447 1664 2288 2816 2894 3328 4576 5632 5788 6656 9152 11576 15917 18304 18811 23152 31834 36608 37622 46304 63668 73216 75244 92608 127336 150488 185216 206921 254672 300976 370432 413842 509344 601952 740864 827684 1018688 1203904 1655368 2037376 2407808 3310736 4074752 4815616 6621472 8149504 9631232 13242944 26485888 52971776 105943552