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104125200 = 2435286771
BaseRepresentation
bin1100011010011…
…01001100010000
321020221002220220
412031031030100
5203124001300
614155433040
72403023004
oct615151420
9236832826
10104125200
1153859893
122aa55780
131875935a
14db86704
15921bda0
hex634d310

104125200 has 60 divisors (see below), whose sum is σ = 333551568. Its totient is φ = 27766400.

The previous prime is 104125171. The next prime is 104125201. The reversal of 104125200 is 2521401.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104125200.

It is not an unprimeable number, because it can be changed into a prime (104125201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42186 + ... + 44585.

Almost surely, 2104125200 is an apocalyptic number.

104125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104125200 is an abundant number, since it is smaller than the sum of its proper divisors (229426368).

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

104125200 is a wasteful number, since it uses less digits than its factorization.

104125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86792 (or 86781 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 104125200 is about 10204.1756158937. The cubic root of 104125200 is about 470.4555715503.

Adding to 104125200 its reverse (2521401), we get a palindrome (106646601).

The spelling of 104125200 in words is "one hundred four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 86771 173542 260313 347084 433855 520626 694168 867710 1041252 1301565 1388336 1735420 2082504 2169275 2603130 3470840 4165008 4338550 5206260 6507825 6941680 8677100 10412520 13015650 17354200 20825040 26031300 34708400 52062600 104125200