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102755225 = 5217415897
BaseRepresentation
bin1100001111111…
…10101110011001
321011100111200002
412013332232121
5202301131400
614110222345
72355255626
oct607765631
9234314602
10102755225
1153003581
122a4b49b5
1318399911
14d90b34d
15904aed5
hex61feb99

102755225 has 24 divisors (see below), whose sum is σ = 138225528. Its totient is φ = 75468800.

The previous prime is 102755209. The next prime is 102755227. The reversal of 102755225 is 522557201.

It can be written as a sum of positive squares in 12 ways, for example, as 17081689 + 85673536 = 4133^2 + 9256^2 .

It is not a de Polignac number, because 102755225 - 24 = 102755209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102755227) by changing a digit.

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, 14477 + ... + 20373.

It is an arithmetic number, because the mean of its divisors is an integer number (5759397).

Almost surely, 2102755225 is an apocalyptic number.

It is an amenable number.

102755225 is a deficient number, since it is larger than the sum of its proper divisors (35470303).

102755225 is a wasteful number, since it uses less digits than its factorization.

102755225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 102755225 is about 10136.8251933236. The cubic root of 102755225 is about 468.3831951179.

The spelling of 102755225 in words is "one hundred two million, seven hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 1025 3485 5897 17425 29485 100249 147425 241777 501245 1208885 2506225 4110209 6044425 20551045 102755225