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104106366 = 23271324889
BaseRepresentation
bin1100011010010…
…00100101111110
321020220011002100
412031020211332
5203122400431
614155205530
72402614050
oct615104576
9236804070
10104106366
1153846721
122aa468a6
1318750900
14db7d8d0
1592164e6
hex634897e

104106366 has 72 divisors (see below), whose sum is σ = 279199440. Its totient is φ = 27451008.

The previous prime is 104106341. The next prime is 104106371. The reversal of 104106366 is 663601401.

104106366 is a `hidden beast` number, since 10 + 4 + 10 + 636 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18850 + ... + 23738.

It is an arithmetic number, because the mean of its divisors is an integer number (3877770).

Almost surely, 2104106366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104106366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139599720).

104106366 is an abundant number, since it is smaller than the sum of its proper divisors (175093074).

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

104106366 is a wasteful number, since it uses less digits than its factorization.

104106366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 104106366 is about 10203.2527166585. The cubic root of 104106366 is about 470.4272047556.

Adding to 104106366 its reverse (663601401), we get a palindrome (767707767).

The spelling of 104106366 in words is "one hundred four million, one hundred six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 4889 7098 9778 10647 14667 21294 29334 34223 44001 63557 68446 88002 102669 127114 190671 205338 308007 381342 444899 572013 616014 826241 889798 1144026 1334697 1652482 2478723 2669394 4004091 4957446 5783687 7436169 8008182 11567374 14872338 17351061 34702122 52053183 104106366