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106528025 = 5224117681
BaseRepresentation
bin1100101100101…
…11110100011001
321102110011222102
412112113310121
5204232344100
614323133145
72432321222
oct626276431
9242404872
10106528025
115515009a
122b8141b5
13190bac46
1410210249
159543cd5
hex6597d19

106528025 has 12 divisors (see below), whose sum is σ = 132650364. Its totient is φ = 84864000.

The previous prime is 106528013. The next prime is 106528027. The reversal of 106528025 is 520825601.

It can be written as a sum of positive squares in 6 ways, for example, as 1731856 + 104796169 = 1316^2 + 10237^2 .

It is not a de Polignac number, because 106528025 - 26 = 106527961 is a prime.

It is a super-2 number, since 2×1065280252 = 22696440220801250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106528027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2816 + ... + 14865.

It is an arithmetic number, because the mean of its divisors is an integer number (11054197).

Almost surely, 2106528025 is an apocalyptic number.

It is an amenable number.

106528025 is a deficient number, since it is larger than the sum of its proper divisors (26122339).

106528025 is a wasteful number, since it uses less digits than its factorization.

106528025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17932 (or 17927 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 106528025 is about 10321.2414466478. The cubic root of 106528025 is about 474.0468791724.

The spelling of 106528025 in words is "one hundred six million, five hundred twenty-eight thousand, twenty-five".

Divisors: 1 5 25 241 1205 6025 17681 88405 442025 4261121 21305605 106528025