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102835125 = 32531719283
BaseRepresentation
bin1100010000100…
…10001110110101
321011111120021100
412020102032311
5202311211000
614112040313
72356040601
oct610221665
9234446240
10102835125
1153058608
122a533099
13183c70b3
14d92c501
159064a00
hex62123b5

102835125 has 96 divisors (see below), whose sum is σ = 207342720. Its totient is φ = 48729600.

The previous prime is 102835123. The next prime is 102835129. The reversal of 102835125 is 521538201.

It is a happy number.

It is not a de Polignac number, because 102835125 - 21 = 102835123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102835123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363234 + ... + 363516.

It is an arithmetic number, because the mean of its divisors is an integer number (2159820).

Almost surely, 2102835125 is an apocalyptic number.

102835125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102835125 is an abundant number, since it is smaller than the sum of its proper divisors (104507595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102835125 is a wasteful number, since it uses less digits than its factorization.

102835125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 102835125 is about 10140.7655036491. The cubic root of 102835125 is about 468.5045648471.

The spelling of 102835125 in words is "one hundred two million, eight hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 45 51 57 75 85 95 125 153 171 225 255 283 285 323 375 425 475 765 849 855 969 1125 1275 1415 1425 1615 2125 2375 2547 2907 3825 4245 4275 4811 4845 5377 6375 7075 7125 8075 12735 14433 14535 16131 19125 21225 21375 24055 24225 26885 35375 40375 43299 48393 63675 72165 72675 80655 91409 106125 120275 121125 134425 216495 241965 274227 318375 360825 363375 403275 457045 601375 672125 822681 1082475 1209825 1371135 1804125 2016375 2285225 4113405 5412375 6049125 6855675 11426125 20567025 34278375 102835125