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104684100 = 22352379431
BaseRepresentation
bin1100011110101…
…01101001000100
321021222111120220
412033111221010
5203244342400
614215424340
72410541313
oct617255104
9237874526
10104684100
1154100794
122b0850b0
13188c3871
14dc9027a
1592cc7a0
hex63d5a44

104684100 has 72 divisors (see below), whose sum is σ = 311105088. Its totient is φ = 27158400.

The previous prime is 104684081. The next prime is 104684101. The reversal of 104684100 is 1486401.

It is not an unprimeable number, because it can be changed into a prime (104684101) 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 23 ways as a sum of consecutive naturals, for example, 6385 + ... + 15815.

It is an arithmetic number, because the mean of its divisors is an integer number (4320904).

Almost surely, 2104684100 is an apocalyptic number.

104684100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104684100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155552544).

104684100 is an abundant number, since it is smaller than the sum of its proper divisors (206420988).

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

104684100 is a wasteful number, since it uses less digits than its factorization.

104684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 104684100 is about 10231.5248130472. The cubic root of 104684100 is about 471.2958054573.

The spelling of 104684100 in words is "one hundred four million, six hundred eighty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 9431 11100 18862 28293 37724 47155 56586 94310 113172 141465 188620 235775 282930 348947 471550 565860 697894 707325 943100 1046841 1395788 1414650 1744735 2093682 2829300 3489470 4187364 5234205 6978940 8723675 10468410 17447350 20936820 26171025 34894700 52342050 104684100