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105020496 = 2433734729
BaseRepresentation
bin1100100001001…
…11110001010000
321022121121001000
412100213301100
5203341123441
614230542000
72413442130
oct620476120
9238547030
10105020496
11543104a9
122b207900
13189b0a09
14dd3aac0
1593472b6
hex6427c50

105020496 has 80 divisors (see below), whose sum is σ = 344521600. Its totient is φ = 30004992.

The previous prime is 105020471. The next prime is 105020527. The reversal of 105020496 is 694020501.

It is a super-2 number, since 2×1050204962 = 22058609160172032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14341 + ... + 20388.

It is an arithmetic number, because the mean of its divisors is an integer number (4306520).

Almost surely, 2105020496 is an apocalyptic number.

105020496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105020496 is an abundant number, since it is smaller than the sum of its proper divisors (239501104).

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

105020496 is a wasteful number, since it uses less digits than its factorization.

105020496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34753 (or 34741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105020496 is about 10247.9508195541. The cubic root of 105020496 is about 471.8000924967.

Adding to 105020496 its reverse (694020501), we get a palindrome (799040997).

The spelling of 105020496 in words is "one hundred five million, twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 34729 69458 104187 138916 208374 243103 277832 312561 416748 486206 555664 625122 729309 833496 937683 972412 1250244 1458618 1666992 1875366 1944824 2187927 2500488 2917236 3750732 3889648 4375854 5000976 5834472 6563781 7501464 8751708 11668944 13127562 15002928 17503416 26255124 35006832 52510248 105020496