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106548225 = 3527202949
BaseRepresentation
bin1100101100111…
…00110000000001
321102111012200120
412112130300001
5204234020400
614323410453
72432434140
oct626346001
9242435616
10106548225
1155164293
122b823a29
13190c71b4
1410217757
159549ca0
hex659cc01

106548225 has 24 divisors (see below), whose sum is σ = 201326400. Its totient is φ = 48707520.

The previous prime is 106548223. The next prime is 106548227. The reversal of 106548225 is 522845601.

It is an interprime number because it is at equal distance from previous prime (106548223) and next prime (106548227).

It is not a de Polignac number, because 106548225 - 21 = 106548223 is a prime.

It is a super-2 number, since 2×1065482252 = 22705048501301250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106548223) 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 23 ways as a sum of consecutive naturals, for example, 100950 + ... + 101999.

It is an arithmetic number, because the mean of its divisors is an integer number (8388600).

Almost surely, 2106548225 is an apocalyptic number.

106548225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106548225 is a deficient number, since it is larger than the sum of its proper divisors (94778175).

106548225 is a wasteful number, since it uses less digits than its factorization.

106548225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202969 (or 202964 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 106548225 is about 10322.2199647169. The cubic root of 106548225 is about 474.0768404331.

The spelling of 106548225 in words is "one hundred six million, five hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 202949 608847 1014745 1420643 3044235 4261929 5073725 7103215 15221175 21309645 35516075 106548225