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105341968 = 2431212383
BaseRepresentation
bin1100100011101…
…10010000010000
321100012221000101
412101312100100
5203431420333
614241502144
72416251304
oct621662020
9240187011
10105341968
115450aa86
122b341954
1318a94134
14ddc1d04
1593ac67d
hex6476410

105341968 has 20 divisors (see below), whose sum is σ = 210684928. Its totient is φ = 50971680.

The previous prime is 105341941. The next prime is 105341969. The reversal of 105341968 is 869143501.

105341968 is an admirable number.

It is a super-2 number, since 2×1053419682 = 22193860444226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105341969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105696 + ... + 106687.

Almost surely, 2105341968 is an apocalyptic number.

It is an amenable number.

105341968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105341968 is a wasteful number, since it uses less digits than its factorization.

105341968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212422 (or 212416 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 105341968 is about 10263.6235316773. The cubic root of 105341968 is about 472.2810018786.

The spelling of 105341968 in words is "one hundred five million, three hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 212383 424766 849532 1699064 3398128 6583873 13167746 26335492 52670984 105341968