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106275300 = 22352354251
BaseRepresentation
bin1100101010110…
…10000111100100
321101222100022020
412111122013210
5204201302200
614313503140
72430216345
oct625320744
9241870266
10106275300
1154a9822a
122b711ab0
131902cbc1
14101860cc
1594e3ea0
hex655a1e4

106275300 has 36 divisors (see below), whose sum is σ = 307490736. Its totient is φ = 28340000.

The previous prime is 106275287. The next prime is 106275307. The reversal of 106275300 is 3572601.

It is a super-2 number, since 2×1062753002 = 22588878780180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106275307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176826 + ... + 177425.

Almost surely, 2106275300 is an apocalyptic number.

106275300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106275300 is an abundant number, since it is smaller than the sum of its proper divisors (201215436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106275300 is a wasteful number, since it uses less digits than its factorization.

106275300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354268 (or 354261 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 106275300 is about 10308.9912212592. The cubic root of 106275300 is about 473.6717091567.

The spelling of 106275300 in words is "one hundred six million, two hundred seventy-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 354251 708502 1062753 1417004 1771255 2125506 3542510 4251012 5313765 7085020 8856275 10627530 17712550 21255060 26568825 35425100 53137650 106275300