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105051100 = 225272111949
BaseRepresentation
bin1100100001011…
…11001111011100
321022200011000111
412100233033130
5203343113400
614231335404
72413630300
oct620571734
9238604014
10105051100
11543314a0
122b221564
13189c191b
14dd47d00
1593513ba
hex642f3dc

105051100 has 108 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 32726400.

The previous prime is 105051091. The next prime is 105051101. The reversal of 105051100 is 1150501.

It is a super-2 number, since 2×1050511002 = 22071467222420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105051101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52926 + ... + 54874.

It is an arithmetic number, because the mean of its divisors is an integer number (2679950).

Almost surely, 2105051100 is an apocalyptic number.

105051100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717300).

105051100 is an abundant number, since it is smaller than the sum of its proper divisors (184383500).

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

105051100 is a wasteful number, since it uses less digits than its factorization.

105051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 105051100 is about 10249.4438873531. The cubic root of 105051100 is about 471.8459171000.

The spelling of 105051100 in words is "one hundred five million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 700 770 980 1078 1100 1225 1540 1925 1949 2156 2450 2695 3850 3898 4900 5390 7700 7796 9745 10780 13475 13643 19490 21439 26950 27286 38980 42878 48725 53900 54572 68215 85756 95501 97450 107195 136430 150073 191002 194900 214390 272860 300146 341075 382004 428780 477505 535975 600292 682150 750365 955010 1050511 1071950 1364300 1500730 1910020 2101022 2143900 2387525 3001460 3751825 4202044 4775050 5252555 7503650 9550100 10505110 15007300 21010220 26262775 52525550 105051100