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105530301 = 32100911621
BaseRepresentation
bin1100100101001…
…00001110111101
321100120111100200
412102210032331
5204003432201
614245514113
72420664342
oct622441675
9240514320
10105530301
1154629528
122b412939
1318b2ba86
14100307c9
1593e8386
hex64a43bd

105530301 has 12 divisors (see below), whose sum is σ = 152596860. Its totient is φ = 70277760.

The previous prime is 105530263. The next prime is 105530311. The reversal of 105530301 is 103035501.

It is a happy number.

105530301 is a `hidden beast` number, since 105 + 530 + 30 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18481401 + 87048900 = 4299^2 + 9330^2 .

It is not a de Polignac number, because 105530301 - 211 = 105528253 is a prime.

It is a super-2 number, since 2×1055303012 = 22273288858301202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105530311) 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, 3271 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (12716405).

Almost surely, 2105530301 is an apocalyptic number.

It is an amenable number.

105530301 is a deficient number, since it is larger than the sum of its proper divisors (47066559).

105530301 is a wasteful number, since it uses less digits than its factorization.

105530301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12636 (or 12633 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105530301 is about 10272.7942157915. The cubic root of 105530301 is about 472.5622862375.

Adding to 105530301 its reverse (103035501), we get a palindrome (208565802).

The spelling of 105530301 in words is "one hundred five million, five hundred thirty thousand, three hundred one".

Divisors: 1 3 9 1009 3027 9081 11621 34863 104589 11725589 35176767 105530301