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112104405 = 35573269
BaseRepresentation
bin1101010111010…
…01001111010101
321210221111100000
412223221033111
5212144320110
615042441513
72530605000
oct653511725
9253844300
10112104405
1158309776
1231663299
131a2c118a
1410c62537
159c961c0
hex6ae93d5

112104405 has 96 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 51057216.

The previous prime is 112104383. The next prime is 112104407. The reversal of 112104405 is 504401211.

112104405 is a `hidden beast` number, since 11 + 210 + 440 + 5 = 666.

It is not a de Polignac number, because 112104405 - 28 = 112104149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112104407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416611 + ... + 416879.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2112104405 is an apocalyptic number.

112104405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112104405 is an abundant number, since it is smaller than the sum of its proper divisors (123767595).

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

112104405 is an frugal number, since it uses more digits than its factorization.

112104405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112104405 is about 10587.9367678505. The cubic root of 112104405 is about 482.1781866175.

Adding to 112104405 its reverse (504401211), we get a palindrome (616505616).

The spelling of 112104405 in words is "one hundred twelve million, one hundred four thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 269 315 343 405 441 567 735 807 945 1029 1215 1323 1345 1701 1715 1883 2205 2421 2835 3087 3969 4035 5145 5649 6615 7263 8505 9261 9415 11907 12105 13181 15435 16947 19845 21789 27783 28245 36315 39543 46305 50841 59535 65367 65905 83349 84735 92267 108945 118629 138915 152523 197715 254205 276801 326835 355887 416745 457569 461335 593145 762615 830403 1067661 1384005 1779435 2287845 2491209 3202983 4152015 5338305 7473627 12456045 16014915 22420881 37368135 112104405