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106511325 = 3521420151
BaseRepresentation
bin1100101100100…
…11101111011101
321102102100001220
412112103233131
5204231330300
614322523553
72432221434
oct626235735
9242370056
10106511325
1155139598
122b8065b9
13190b346b
141020811b
15953dda0
hex6593bdd

106511325 has 12 divisors (see below), whose sum is σ = 176098848. Its totient is φ = 56806000.

The previous prime is 106511311. The next prime is 106511329. The reversal of 106511325 is 523115601.

It is not a de Polignac number, because 106511325 - 215 = 106478557 is a prime.

It is a super-2 number, since 2×1065113252 = 22689324706511250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106511295 and 106511304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106511329) 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 11 ways as a sum of consecutive naturals, for example, 710001 + ... + 710150.

It is an arithmetic number, because the mean of its divisors is an integer number (14674904).

Almost surely, 2106511325 is an apocalyptic number.

106511325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106511325 is a deficient number, since it is larger than the sum of its proper divisors (69587523).

106511325 is a wasteful number, since it uses less digits than its factorization.

106511325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420164 (or 1420159 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106511325 is about 10320.4324037319. The cubic root of 106511325 is about 474.0221063592.

Adding to 106511325 its reverse (523115601), we get a palindrome (629626926).

The spelling of 106511325 in words is "one hundred six million, five hundred eleven thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 75 1420151 4260453 7100755 21302265 35503775 106511325