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104105000 = 235447443
BaseRepresentation
bin1100011010010…
…00010000101000
321020220002012202
412031020100220
5203122330000
614155155332
72402610056
oct615102050
9236802182
10104105000
115384569a
122aa45b48
13187500bc
14db7d1d6
159215dd5
hex6348428

104105000 has 80 divisors (see below), whose sum is σ = 249670080. Its totient is φ = 40664000.

The previous prime is 104104993. The next prime is 104105039. The reversal of 104105000 is 501401.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234779 + ... + 235221.

It is an arithmetic number, because the mean of its divisors is an integer number (3120876).

Almost surely, 2104105000 is an apocalyptic number.

104105000 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 104105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124835040).

104105000 is an abundant number, since it is smaller than the sum of its proper divisors (145565080).

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

104105000 is an equidigital number, since it uses as much as digits as its factorization.

104105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 104105000 is about 10203.1857770012. The cubic root of 104105000 is about 470.4251472241.

Adding to 104105000 its reverse (501401), we get a palindrome (104606401).

The spelling of 104105000 in words is "one hundred four million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 443 470 500 625 886 940 1000 1175 1250 1772 1880 2215 2350 2500 3544 4430 4700 5000 5875 8860 9400 11075 11750 17720 20821 22150 23500 29375 41642 44300 47000 55375 58750 83284 88600 104105 110750 117500 166568 208210 221500 235000 276875 416420 443000 520525 553750 832840 1041050 1107500 2082100 2215000 2602625 4164200 5205250 10410500 13013125 20821000 26026250 52052500 104105000