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104127100 = 225271113523
BaseRepresentation
bin1100011010011…
…01101001111100
321020221012112021
412031031221330
5203124031400
614155445524
72403031360
oct615155174
9236835467
10104127100
1153860260
122aa568a4
131875a18c
14db872a0
15921c71a
hex634da7c

104127100 has 72 divisors (see below), whose sum is σ = 281731968. Its totient is φ = 32452800.

The previous prime is 104127083. The next prime is 104127103. The reversal of 104127100 is 1721401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104127103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939 + ... + 14461.

It is an arithmetic number, because the mean of its divisors is an integer number (3912944).

Almost surely, 2104127100 is an apocalyptic number.

104127100 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 104127100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140865984).

104127100 is an abundant number, since it is smaller than the sum of its proper divisors (177604868).

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

104127100 is a wasteful number, since it uses less digits than its factorization.

104127100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555 (or 13548 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 104127100 is about 10204.2687146115. The cubic root of 104127100 is about 470.4584330419.

Adding to 104127100 its reverse (1721401), we get a palindrome (105848501).

The spelling of 104127100 in words is "one hundred four million, one hundred twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 13523 27046 54092 67615 94661 135230 148753 189322 270460 297506 338075 378644 473305 595012 676150 743765 946610 1041271 1352300 1487530 1893220 2082542 2366525 2975060 3718825 4165084 4733050 5206355 7437650 9466100 10412710 14875300 20825420 26031775 52063550 104127100