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106353563405 = 5171251218393
BaseRepresentation
bin110001100001100101…
…0101001011100001101
3101011111221222210201212
41203003022221130031
53220303003012110
6120505205544205
710453353241655
oct1430312513415
9334457883655
10106353563405
11411168a5351
1218741715065
13a04bc0b60b
14520cbc7365
152b76e11e05
hex18c32a970d

106353563405 has 8 divisors (see below), whose sum is σ = 135131586552. Its totient is φ = 80077977088.

The previous prime is 106353563377. The next prime is 106353563419. The reversal of 106353563405 is 504365353601.

It can be written as a sum of positive squares in 4 ways, for example, as 20374422121 + 85979141284 = 142739^2 + 293222^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106353563405 - 214 = 106353547021 is a prime.

It is a super-2 number, since 2×1063535634052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625609112 + ... + 625609281.

It is an arithmetic number, because the mean of its divisors is an integer number (16891448319).

Almost surely, 2106353563405 is an apocalyptic number.

It is an amenable number.

106353563405 is a deficient number, since it is larger than the sum of its proper divisors (28778023147).

106353563405 is a wasteful number, since it uses less digits than its factorization.

106353563405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251218415.

The product of its (nonzero) digits is 486000, while the sum is 41.

The spelling of 106353563405 in words is "one hundred six billion, three hundred fifty-three million, five hundred sixty-three thousand, four hundred five".

Divisors: 1 5 17 85 1251218393 6256091965 21270712681 106353563405