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105556041 = 35434387
BaseRepresentation
bin1100100101010…
…10100001001001
321100121210200000
412102222201021
5204010243131
614250233213
72421132363
oct622524111
9240553600
10105556041
11546468a8
122b425809
1318b3a6c6
1410039d33
159400ce6
hex64aa849

105556041 has 12 divisors (see below), whose sum is σ = 158117232. Its totient is φ = 70370532.

The previous prime is 105556037. The next prime is 105556049. The reversal of 105556041 is 140655501.

It is a happy number.

105556041 is a `hidden beast` number, since 1 + 0 + 5 + 55 + 604 + 1 = 666.

It is not a de Polignac number, because 105556041 - 22 = 105556037 is a prime.

It is a super-2 number, since 2×1055560412 = 22284155583187362, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105555996 and 105556014.

It is not an unprimeable number, because it can be changed into a prime (105556049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 216951 + ... + 217436.

It is an arithmetic number, because the mean of its divisors is an integer number (13176436).

Almost surely, 2105556041 is an apocalyptic number.

It is an amenable number.

105556041 is a deficient number, since it is larger than the sum of its proper divisors (52561191).

105556041 is an frugal number, since it uses more digits than its factorization.

105556041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434402 (or 434390 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105556041 is about 10274.0469631008. The cubic root of 105556041 is about 472.6007041589.

The spelling of 105556041 in words is "one hundred five million, five hundred fifty-six thousand, forty-one".

Divisors: 1 3 9 27 81 243 434387 1303161 3909483 11728449 35185347 105556041