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105553025 = 5219012221
BaseRepresentation
bin1100100101010…
…01110010000001
321100121122112022
412102221302001
5204010144100
614250211225
72421120524
oct622516201
9240548468
10105553025
1154644606
122b423b15
1318b39216
1410038bbb
1593eee85
hex64a9c81

105553025 has 12 divisors (see below), whose sum is σ = 131013564. Its totient is φ = 84360000.

The previous prime is 105553013. The next prime is 105553027. The reversal of 105553025 is 520355501.

It can be written as a sum of positive squares in 6 ways, for example, as 9042049 + 96510976 = 3007^2 + 9824^2 .

It is not a de Polignac number, because 105553025 - 216 = 105487489 is a prime.

It is a super-2 number, since 2×1055530252 = 22282882173301250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105552985 and 105553003.

It is not an unprimeable number, because it can be changed into a prime (105553027) 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, 46415 + ... + 48635.

It is an arithmetic number, because the mean of its divisors is an integer number (10917797).

Almost surely, 2105553025 is an apocalyptic number.

It is an amenable number.

105553025 is a deficient number, since it is larger than the sum of its proper divisors (25460539).

105553025 is a wasteful number, since it uses less digits than its factorization.

105553025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 105553025 is about 10273.9001844480. The cubic root of 105553025 is about 472.5962029882.

The spelling of 105553025 in words is "one hundred five million, five hundred fifty-three thousand, twenty-five".

Divisors: 1 5 25 1901 2221 9505 11105 47525 55525 4222121 21110605 105553025