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106208025 = 35271153347
BaseRepresentation
bin1100101010010…
…01101100011001
321101211221000120
412111021230121
5204142124100
614312223453
72426516250
oct625115431
9241757016
10106208025
1154a51730
122b69ab89
13190083b1
1410169797
1594ce0a0
hex6549b19

106208025 has 96 divisors (see below), whose sum is σ = 223699968. Its totient is φ = 43180800.

The previous prime is 106208021. The next prime is 106208051. The reversal of 106208025 is 520802601.

106208025 is a nontrivial binomial coefficient, being equal to C(14575, 2).

It is not a de Polignac number, because 106208025 - 22 = 106208021 is a prime.

It is a super-2 number, since 2×1062080252 = 22560289148801250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106207986 and 106208004.

It is not an unprimeable number, because it can be changed into a prime (106208021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305902 + ... + 306248.

It is an arithmetic number, because the mean of its divisors is an integer number (2330208).

Almost surely, 2106208025 is an apocalyptic number.

106208025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106208025 is the 14574-th triangular number.

It is an amenable number.

106208025 is an abundant number, since it is smaller than the sum of its proper divisors (117491943).

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

106208025 is a wasteful number, since it uses less digits than its factorization.

106208025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106208025 is about 10305.7277763387. The cubic root of 106208025 is about 473.5717392652.

The spelling of 106208025 in words is "one hundred six million, two hundred eight thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 53 55 75 77 105 159 165 175 231 265 275 347 371 385 525 583 795 825 1041 1113 1155 1325 1735 1749 1855 1925 2429 2915 3817 3975 4081 5205 5565 5775 7287 8675 8745 9275 11451 12145 12243 14575 18391 19085 20405 26025 26719 27825 36435 43725 55173 57255 60725 61215 80157 91955 95425 102025 128737 133595 182175 202301 275865 286275 306075 386211 400785 459775 606903 643685 667975 1011505 1379325 1416107 1931055 2003925 3034515 3218425 4248321 5057525 7080535 9655275 15172575 21241605 35402675 106208025