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105409661748 = 2238784138479
BaseRepresentation
bin110001000101011100…
…1111100101100110100
3101002002011212122002020
41202022321330230310
53211334333133443
6120231410513140
710421102225046
oct1421271745464
9332064778066
10105409661748
1140782008036
12185195957b0
139c2b4b3521
14515d6bda96
152b1e112583
hex188ae7cb34

105409661748 has 12 divisors (see below), whose sum is σ = 245955877440. Its totient is φ = 35136553912.

The previous prime is 105409661743. The next prime is 105409661809. The reversal of 105409661748 is 847166904501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1054096617482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105409661748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105409661743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4392069228 + ... + 4392069251.

It is an arithmetic number, because the mean of its divisors is an integer number (20496323120).

Almost surely, 2105409661748 is an apocalyptic number.

It is an amenable number.

105409661748 is an abundant number, since it is smaller than the sum of its proper divisors (140546215692).

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

105409661748 is a wasteful number, since it uses less digits than its factorization.

105409661748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784138486 (or 8784138484 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 105409661748 in words is "one hundred five billion, four hundred nine million, six hundred sixty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 8784138479 17568276958 26352415437 35136553916 52704830874 105409661748