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105455412325 = 5224154132353
BaseRepresentation
bin110001000110110100…
…0011110010001100101
3101002012100222000002001
41202031220132101211
53211433041143300
6120240123245301
710422166133464
oct1421550362145
9332170860061
10105455412325
11407a591612a
1218530979831
139c37b11683
1451657cc9db
152b2314d16a
hex188da1e465

105455412325 has 24 divisors (see below), whose sum is σ = 131554081736. Its totient is φ = 83856384000.

The previous prime is 105455412301. The next prime is 105455412343. The reversal of 105455412325 is 523214554501.

It can be written as a sum of positive squares in 12 ways, for example, as 5976990721 + 99478421604 = 77311^2 + 315402^2 .

It is not a de Polignac number, because 105455412325 - 29 = 105455411813 is a prime.

It is a super-2 number, since 2×1054554123252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 3243349 + ... + 3275701.

Almost surely, 2105455412325 is an apocalyptic number.

It is an amenable number.

105455412325 is a deficient number, since it is larger than the sum of its proper divisors (26098669411).

105455412325 is a wasteful number, since it uses less digits than its factorization.

105455412325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33145 (or 33140 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

Adding to 105455412325 its reverse (523214554501), we get a palindrome (628669966826).

The spelling of 105455412325 in words is "one hundred five billion, four hundred fifty-five million, four hundred twelve thousand, three hundred twenty-five".

Divisors: 1 5 25 241 541 1205 2705 6025 13525 32353 130381 161765 651905 808825 3259525 7797073 17502973 38985365 87514865 194926825 437574325 4218216493 21091082465 105455412325