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107885925 = 355274359
BaseRepresentation
bin1100110111000…
…11010101100101
321112000011200000
412123203111211
5210104322200
614412211513
72450005140
oct633432545
9245004600
10107885925
1155998324
1230169b99
1319475034
1410485057
159711300
hex66e3565

107885925 has 144 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 47355840.

The previous prime is 107885917. The next prime is 107885929. The reversal of 107885925 is 529588701.

It is a happy number.

It is not a de Polignac number, because 107885925 - 23 = 107885917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107885929) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1828546 + ... + 1828604.

Almost surely, 2107885925 is an apocalyptic number.

107885925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107885925 is an abundant number, since it is smaller than the sum of its proper divisors (130432155).

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

107885925 is an equidigital number, since it uses as much as digits as its factorization.

107885925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 107885925 is about 10386.8149593607. The cubic root of 107885925 is about 476.0525872861.

The spelling of 107885925 in words is "one hundred seven million, eight hundred eighty-five thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 59 63 75 81 105 129 135 175 177 189 215 225 243 295 301 315 387 405 413 525 531 567 645 675 885 903 945 1075 1161 1215 1239 1475 1505 1575 1593 1701 1935 2025 2065 2537 2655 2709 2835 3225 3483 3717 4425 4515 4725 4779 5805 6075 6195 7525 7611 7965 8127 8505 9675 10325 10449 11151 12685 13275 13545 14175 14337 17415 17759 18585 22575 22833 23895 24381 29025 30975 33453 38055 39825 40635 42525 52245 53277 55755 63425 67725 68499 71685 73143 87075 88795 92925 100359 114165 119475 121905 159831 167265 190275 203175 205497 261225 266385 278775 342495 358425 365715 443975 479493 501795 570825 609525 616491 799155 836325 1027485 1331925 1438479 1712475 1828575 2397465 2508975 3082455 3995775 4315437 5137425 7192395 11987325 15412275 21577185 35961975 107885925