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105641675 = 5213132257
BaseRepresentation
bin1100100101111…
…11011011001011
321100210011010122
412102333123023
5204021013200
614252133455
72421640136
oct622773313
9240704118
10105641675
11546a5177
122b46728b
1318b6a689
141005d21d
15941b385
hex64bf6cb

105641675 has 12 divisors (see below), whose sum is σ = 131999736. Its totient is φ = 83865600.

The previous prime is 105641663. The next prime is 105641677. The reversal of 105641675 is 576146501.

It is not a de Polignac number, because 105641675 - 210 = 105640651 is a prime.

It is a super-2 number, since 2×1056416752 = 22320326993611250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105641677) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12854 + ... + 19403.

It is an arithmetic number, because the mean of its divisors is an integer number (10999978).

Almost surely, 2105641675 is an apocalyptic number.

105641675 is a deficient number, since it is larger than the sum of its proper divisors (26358061).

105641675 is a wasteful number, since it uses less digits than its factorization.

105641675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32398 (or 32393 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 105641675 is about 10278.2136093778. The cubic root of 105641675 is about 472.7284712012.

The spelling of 105641675 in words is "one hundred five million, six hundred forty-one thousand, six hundred seventy-five".

Divisors: 1 5 25 131 655 3275 32257 161285 806425 4225667 21128335 105641675