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1105120104 = 2331121920029
BaseRepresentation
bin100000111011110…
…1100101101101000
32212000110220210020
41001313230231220
54230402320404
6301354320440
736246236334
oct10167545550
92760426706
101105120104
115178a2100
1226a129120
13147c5432a
14a6ab27c4
1567047ed9
hex41decb68

1105120104 has 96 divisors (see below), whose sum is σ = 3196788000. Its totient is φ = 317243520.

The previous prime is 1105120007. The next prime is 1105120117. The reversal of 1105120104 is 4010215011.

It is a happy number.

1105120104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45162 + ... + 65190.

It is an arithmetic number, because the mean of its divisors is an integer number (33299875).

Almost surely, 21105120104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598394000).

1105120104 is an abundant number, since it is smaller than the sum of its proper divisors (2091667896).

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

1105120104 is a wasteful number, since it uses less digits than its factorization.

1105120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20079 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1105120104 is about 33243.3467629239. The cubic root of 1105120104 is about 1033.8792676298.

Adding to 1105120104 its reverse (4010215011), we get a palindrome (5115335115).

The spelling of 1105120104 in words is "one billion, one hundred five million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 836 968 1254 1452 1672 2299 2508 2904 4598 5016 6897 9196 13794 18392 20029 27588 40058 55176 60087 80116 120174 160232 220319 240348 380551 440638 480696 660957 761102 881276 1141653 1321914 1522204 1762552 2283306 2423509 2643828 3044408 4186061 4566612 4847018 5287656 7270527 8372122 9133224 9694036 12558183 14541054 16744244 19388072 25116366 29082108 33488488 46046671 50232732 58164216 92093342 100465464 138140013 184186684 276280026 368373368 552560052 1105120104