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106092300 = 22352353641
BaseRepresentation
bin1100101001011…
…01011100001100
321101122001021110
412110231130030
5204124423200
614305532020
72425524666
oct624553414
9241561243
10106092300
1154982796
122b644010
1318c97812
1410139536
1594a9b50
hex652d70c

106092300 has 36 divisors (see below), whose sum is σ = 306961256. Its totient is φ = 28291200.

The previous prime is 106092281. The next prime is 106092317. The reversal of 106092300 is 3290601.

It is a super-2 number, since 2×1060923002 = 22511152238580000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 176521 + ... + 177120.

Almost surely, 2106092300 is an apocalyptic number.

106092300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106092300 is an abundant number, since it is smaller than the sum of its proper divisors (200868956).

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

106092300 is a wasteful number, since it uses less digits than its factorization.

106092300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353658 (or 353651 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106092300 is about 10300.1116498803. Note that the first 3 decimals coincide. The cubic root of 106092300 is about 473.3996744061.

The spelling of 106092300 in words is "one hundred six million, ninety-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 353641 707282 1060923 1414564 1768205 2121846 3536410 4243692 5304615 7072820 8841025 10609230 17682050 21218460 26523075 35364100 53046150 106092300