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105368442 = 2331412337
BaseRepresentation
bin1100100011111…
…00101101111010
321100021021022220
412101330231322
5203433242232
614242224510
72416421424
oct621745572
9240237286
10105368442
1154528963
122b355136
1318aa31ba
14ddcb814
1593b542c
hex647cb7a

105368442 has 48 divisors (see below), whose sum is σ = 223631616. Its totient is φ = 33062400.

The previous prime is 105368429. The next prime is 105368453. The reversal of 105368442 is 244863501.

It is a super-2 number, since 2×1053684422 = 22205017139014728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312498 + ... + 312834.

It is an arithmetic number, because the mean of its divisors is an integer number (4658992).

Almost surely, 2105368442 is an apocalyptic number.

105368442 is an abundant number, since it is smaller than the sum of its proper divisors (118263174).

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

105368442 is a wasteful number, since it uses less digits than its factorization.

105368442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 105368442 is about 10264.9131511182. The cubic root of 105368442 is about 472.3205623064.

The spelling of 105368442 in words is "one hundred five million, three hundred sixty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 31 41 62 82 93 123 186 246 337 674 1011 1271 1681 2022 2542 3362 3813 5043 7626 10086 10447 13817 20894 27634 31341 41451 52111 62682 82902 104222 156333 312666 428327 566497 856654 1132994 1284981 1699491 2569962 3398982 17561407 35122814 52684221 105368442