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104011100 = 22521725961
BaseRepresentation
bin1100011001100…
…01010101011100
321020201022101222
412030301111130
5203111323400
614153152512
72402036234
oct614612534
9236638358
10104011100
1153791096
122a9bb738
131871943b
14db56cc4
1591e8185
hex633155c

104011100 has 108 divisors (see below), whose sum is σ = 247822680. Its totient is φ = 37862400.

The previous prime is 104011099. The next prime is 104011121. The reversal of 104011100 is 1110401.

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 35 ways as a sum of consecutive naturals, for example, 1705070 + ... + 1705130.

Almost surely, 2104011100 is an apocalyptic number.

104011100 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 104011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123911340).

104011100 is an abundant number, since it is smaller than the sum of its proper divisors (143811580).

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

104011100 is a wasteful number, since it uses less digits than its factorization.

104011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 104011100 is about 10198.5832349400. The cubic root of 104011100 is about 470.2836675996.

Adding to 104011100 its reverse (1110401), we get a palindrome (105121501).

The spelling of 104011100 in words is "one hundred four million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 59 61 68 85 100 118 122 170 236 244 289 295 305 340 425 578 590 610 850 1003 1037 1156 1180 1220 1445 1475 1525 1700 2006 2074 2890 2950 3050 3599 4012 4148 5015 5185 5780 5900 6100 7198 7225 10030 10370 14396 14450 17051 17629 17995 20060 20740 25075 25925 28900 34102 35258 35990 50150 51850 61183 68204 70516 71980 85255 88145 89975 100300 103700 122366 170510 176290 179950 244732 305915 341020 352580 359900 426275 440725 611830 852550 881450 1040111 1223660 1529575 1705100 1762900 2080222 3059150 4160444 5200555 6118300 10401110 20802220 26002775 52005550 104011100