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106731300 = 223521327367
BaseRepresentation
bin1100101110010…
…01011100100100
321102211111211010
412113021130210
5204310400200
614331342220
72434125654
oct627113444
9242744733
10106731300
1155279895
122b8b1970
131915c620
1410264364
159584150
hex65c9724

106731300 has 72 divisors (see below), whose sum is σ = 332575936. Its totient is φ = 26271360.

The previous prime is 106731299. The next prime is 106731311. The reversal of 106731300 is 3137601.

It is a super-2 number, since 2×1067313002 = 22783140799380000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9784 + ... + 17583.

Almost surely, 2106731300 is an apocalyptic number.

106731300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106731300 is an abundant number, since it is smaller than the sum of its proper divisors (225844636).

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

106731300 is a wasteful number, since it uses less digits than its factorization.

106731300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27397 (or 27390 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 106731300 is about 10331.0841638233. The cubic root of 106731300 is about 474.3482103705.

Adding to 106731300 its reverse (3137601), we get a palindrome (109868901).

The spelling of 106731300 in words is "one hundred six million, seven hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 27367 54734 82101 109468 136835 164202 273670 328404 355771 410505 547340 684175 711542 821010 1067313 1368350 1423084 1642020 1778855 2052525 2134626 2736700 3557710 4105050 4269252 5336565 7115420 8210100 8894275 10673130 17788550 21346260 26682825 35577100 53365650 106731300