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106528047 = 3331107279
BaseRepresentation
bin1100101100101…
…11110100101111
321102110012000020
412112113310233
5204232344142
614323133223
72432321253
oct626276457
9242405006
10106528047
115515010a
122b814213
13190bac62
1410210263
159543cec
hex6597d2f

106528047 has 8 divisors (see below), whose sum is σ = 142467840. Its totient is φ = 70803480.

The previous prime is 106528027. The next prime is 106528063. The reversal of 106528047 is 740825601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106528047 - 222 = 102333743 is a prime.

It is a super-2 number, since 2×1065280472 = 22696449595268418, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106527999 and 106528017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106528007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52647 + ... + 54632.

It is an arithmetic number, because the mean of its divisors is an integer number (17808480).

Almost surely, 2106528047 is an apocalyptic number.

106528047 is a deficient number, since it is larger than the sum of its proper divisors (35939793).

106528047 is a wasteful number, since it uses less digits than its factorization.

106528047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107613.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 106528047 is about 10321.2425124110. The cubic root of 106528047 is about 474.0469118056.

The spelling of 106528047 in words is "one hundred six million, five hundred twenty-eight thousand, forty-seven".

Divisors: 1 3 331 993 107279 321837 35509349 106528047