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102880125 = 36531129
BaseRepresentation
bin1100010000111…
…01001101111101
321011120212000000
412020131031331
5202314131000
614113024513
72356316025
oct610351575
9234525000
10102880125
11530893a7
122a555139
131841171a
14d940a85
159073000
hex621d37d

102880125 has 56 divisors (see below), whose sum is σ = 192674040. Its totient is φ = 54820800.

The previous prime is 102880121. The next prime is 102880147. The reversal of 102880125 is 521088201.

It can be written as a sum of positive squares in 4 ways, for example, as 20088324 + 82791801 = 4482^2 + 9099^2 .

It is not a de Polignac number, because 102880125 - 22 = 102880121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102880121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 90561 + ... + 91689.

Almost surely, 2102880125 is an apocalyptic number.

102880125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102880125 is a deficient number, since it is larger than the sum of its proper divisors (89793915).

102880125 is an frugal number, since it uses more digits than its factorization.

102880125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102880125 is about 10142.9840283814. The cubic root of 102880125 is about 468.5728930925.

The spelling of 102880125 in words is "one hundred two million, eight hundred eighty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 675 729 1125 1129 1215 2025 3375 3387 3645 5645 6075 10125 10161 16935 18225 28225 30375 30483 50805 84675 91125 91449 141125 152415 254025 274347 423375 457245 762075 823041 1270125 1371735 2286225 3810375 4115205 6858675 11431125 20576025 34293375 102880125