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105041001100 = 22527221436939
BaseRepresentation
bin110000111010011101…
…1100111101010001100
3101001010111011201202011
41201310323213222030
53210110444013400
6120131041111004
710406004530500
oct1416473475214
9331114151664
10105041001100
11406029a7912
1218436028464
139b9ccc5729
145126756300
152aeba8e8ba
hex1874ee7a8c

105041001100 has 54 divisors (see below), whose sum is σ = 265153510860. Its totient is φ = 36014055840.

The previous prime is 105041001083. The next prime is 105041001101. The reversal of 105041001100 is 1100140501.

It is a super-2 number, since 2×1050410011002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105041001101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10713570 + ... + 10723369.

Almost surely, 2105041001100 is an apocalyptic number.

105041001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105041001100 is an abundant number, since it is smaller than the sum of its proper divisors (160112509760).

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

105041001100 is a wasteful number, since it uses less digits than its factorization.

105041001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21436967 (or 21436953 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 105041001100 its reverse (1100140501), we get a palindrome (106141141601).

The spelling of 105041001100 in words is "one hundred five billion, forty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 21436939 42873878 85747756 107184695 150058573 214369390 300117146 428738780 535923475 600234292 750292865 1050410011 1071846950 1500585730 2100820022 2143693900 3001171460 3751464325 4201640044 5252050055 7502928650 10504100110 15005857300 21008200220 26260250275 52520500550 105041001100