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105425554041 = 3253564739139
BaseRepresentation
bin110001000101111011…
…0100100101001111001
3101002010021210001012200
41202023312210221321
53211402420212131
6120233135300413
710421354265213
oct1421366445171
9332107701180
10105425554041
114078aa82165
121852297a709
139c31889052
1451618595b3
152b207012e6
hex188bda4a79

105425554041 has 24 divisors (see below), whose sum is σ = 155186029440. Its totient is φ = 68943622176.

The previous prime is 105425554033. The next prime is 105425554051. The reversal of 105425554041 is 140455524501.

105425554041 is a `hidden beast` number, since 1 + 0 + 54 + 25 + 5 + 540 + 41 = 666.

It is not a de Polignac number, because 105425554041 - 23 = 105425554033 is a prime.

It is a super-2 number, since 2×1054255540412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105425553987 and 105425554005.

It is not an unprimeable number, because it can be changed into a prime (105425554001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674050 + ... + 2713188.

It is an arithmetic number, because the mean of its divisors is an integer number (6466084560).

Almost surely, 2105425554041 is an apocalyptic number.

It is an amenable number.

105425554041 is a deficient number, since it is larger than the sum of its proper divisors (49760475399).

105425554041 is a wasteful number, since it uses less digits than its factorization.

105425554041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44845 (or 44842 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 105425554041 in words is "one hundred five billion, four hundred twenty-five million, five hundred fifty-four thousand, forty-one".

Divisors: 1 3 9 53 159 477 5647 16941 39139 50823 117417 299291 352251 897873 2074367 2693619 6223101 18669303 221017933 663053799 1989161397 11713950449 35141851347 105425554041