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106941375 = 3253234133
BaseRepresentation
bin1100101111111…
…00101110111111
321110020011222200
412113330232333
5204334111000
614340042543
72435662302
oct627745677
9243204880
10106941375
1155402702
122b993453
1319204128
14102bab39
1595c6500
hex65fcbbf

106941375 has 48 divisors (see below), whose sum is σ = 201210048. Its totient is φ = 54542400.

The previous prime is 106941353. The next prime is 106941377. The reversal of 106941375 is 573149601.

It is not a de Polignac number, because 106941375 - 25 = 106941343 is a prime.

It is a super-2 number, since 2×1069413752 = 22872915373781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106941377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23809 + ... + 27941.

It is an arithmetic number, because the mean of its divisors is an integer number (4191876).

Almost surely, 2106941375 is an apocalyptic number.

106941375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106941375 is a deficient number, since it is larger than the sum of its proper divisors (94268673).

106941375 is a wasteful number, since it uses less digits than its factorization.

106941375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106941375 is about 10341.2462981983. The cubic root of 106941375 is about 474.6592200228.

The spelling of 106941375 in words is "one hundred six million, nine hundred forty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 125 207 225 345 375 575 1035 1125 1725 2875 4133 5175 8625 12399 20665 25875 37197 61995 95059 103325 185985 285177 309975 475295 516625 855531 929925 1425885 1549875 2376475 4277655 4649625 7129425 11882375 21388275 35647125 106941375