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105341656 = 23717223283
BaseRepresentation
bin1100100011101…
…10001011011000
321100012220120211
412101312023120
5203431413111
614241500504
72416250350
oct621661330
9240186524
10105341656
115450a822
122b341734
1318a93c54
14ddc1b60
1593ac521
hex64762d8

105341656 has 96 divisors (see below), whose sum is σ = 251101440. Its totient is φ = 40499712.

The previous prime is 105341653. The next prime is 105341671. The reversal of 105341656 is 656143501.

It is a super-2 number, since 2×1053416562 = 22193728977644672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341653) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 372091 + ... + 372373.

It is an arithmetic number, because the mean of its divisors is an integer number (2615640).

Almost surely, 2105341656 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 105341656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125550720).

105341656 is an abundant number, since it is smaller than the sum of its proper divisors (145759784).

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

105341656 is a wasteful number, since it uses less digits than its factorization.

105341656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105341656 is about 10263.6083323556. The cubic root of 105341656 is about 472.2805356136.

The spelling of 105341656 in words is "one hundred five million, three hundred forty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 283 289 322 391 476 566 578 644 782 952 1132 1156 1288 1564 1981 2023 2264 2312 2737 3128 3962 4046 4811 5474 6509 6647 7924 8092 9622 10948 13018 13294 15848 16184 19244 21896 26036 26588 33677 38488 45563 46529 52072 53176 67354 81787 91126 93058 110653 134708 163574 182252 186116 221306 269416 327148 364504 372232 442612 572509 654296 774571 885224 1145018 1549142 1881101 2290036 3098284 3762202 4580072 6196568 7524404 13167707 15048808 26335414 52670828 105341656