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104105143032 = 233111033828521
BaseRepresentation
bin110000011110100100…
…1100110101011111000
3100221201021012012211020
41200331021212223320
53201201404034112
6115454130302440
710343552054352
oct1407511465370
9327637165736
10104105143032
11401727038a0
1218214727a20
139a81155867
1450783440d2
152a9482d48c
hex183d266af8

104105143032 has 64 divisors (see below), whose sum is σ = 286679727360. Its totient is φ = 31240723200.

The previous prime is 104105143027. The next prime is 104105143049. The reversal of 104105143032 is 230341501401.

It is a happy number.

104105143032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 104105142993 and 104105143011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1887069 + ... + 1941452.

It is an arithmetic number, because the mean of its divisors is an integer number (4479370740).

Almost surely, 2104105143032 is an apocalyptic number.

104105143032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104105143032 is an abundant number, since it is smaller than the sum of its proper divisors (182574584328).

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

104105143032 is a wasteful number, since it uses less digits than its factorization.

104105143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828644 (or 3828640 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 104105143032 its reverse (230341501401), we get a palindrome (334446644433).

The spelling of 104105143032 in words is "one hundred four billion, one hundred five million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3399 4532 6798 9064 13596 27192 3828521 7657042 11485563 15314084 22971126 30628168 42113731 45942252 84227462 91884504 126341193 168454924 252682386 336909848 394337663 505364772 788675326 1010729544 1183012989 1577350652 2366025978 3154701304 4337714293 4732051956 8675428586 9464103912 13013142879 17350857172 26026285758 34701714344 52052571516 104105143032