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4105342100 = 2252197208393
BaseRepresentation
bin1111010010110010…
…1000110010010100
3101121002220222122102
43310230220302110
531401431421400
61515211421232
7203506555256
oct36454506224
911532828572
104105342100
1118173a4312
12966a54818
135056b5912
142ad335cd6
151906329d5
hexf4b28c94

4105342100 has 36 divisors (see below), whose sum is σ = 8953856604. Its totient is φ = 1633793280.

The previous prime is 4105342097. The next prime is 4105342169. The reversal of 4105342100 is 12435014.

It can be written as a sum of positive squares in 6 ways, for example, as 311028496 + 3794313604 = 17636^2 + 61598^2 .

It is a super-5 number, since 5×41053421005 (a number of 49 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84497 + ... + 123896.

It is an arithmetic number, because the mean of its divisors is an integer number (248718239).

Almost surely, 24105342100 is an apocalyptic number.

It is an amenable number.

4105342100 is an abundant number, since it is smaller than the sum of its proper divisors (4848514504).

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

4105342100 is a wasteful number, since it uses less digits than its factorization.

4105342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208604 (or 208597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4105342100 is about 64072.9435877579. The cubic root of 4105342100 is about 1601.2154956435.

Adding to 4105342100 its reverse (12435014), we get a palindrome (4117777114).

The spelling of 4105342100 in words is "four billion, one hundred five million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 9850 19700 208393 416786 833572 1041965 2083930 4167860 5209825 10419650 20839300 41053421 82106842 164213684 205267105 410534210 821068420 1026335525 2052671050 4105342100