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105343431403645 = 531657665530097
BaseRepresentation
bin10111111100111100101101…
…110011101110100001111101
3111210222201210212012120211101
4113330330231303232201331
5102301421321414404040
61012014034310053101
731121545301521111
oct2774745563564175
9453881725176741
10105343431403645
1130624997803356
12b99431a04a191
1346a1ac5c8b006
141c029138cb741
15c2a35754409a
hex5fcf2dcee87d

105343431403645 has 8 divisors (see below), whose sum is σ = 126416111054904. Its totient is φ = 84272082875904.

The previous prime is 105343431403579. The next prime is 105343431403663. The reversal of 105343431403645 is 546304134343501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 191573411481 + 105151857992164 = 437691^2 + 10254358^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105343431403645 - 211 = 105343431401597 is a prime.

It is a super-2 number, since 2×1053434314036452 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105343431403595 and 105343431403604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332606764 + ... + 332923333.

It is an arithmetic number, because the mean of its divisors is an integer number (15802013881863).

Almost surely, 2105343431403645 is an apocalyptic number.

It is an amenable number.

105343431403645 is a deficient number, since it is larger than the sum of its proper divisors (21072679651259).

105343431403645 is an equidigital number, since it uses as much as digits as its factorization.

105343431403645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665561759.

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 105343431403645 in words is "one hundred five trillion, three hundred forty-three billion, four hundred thirty-one million, four hundred three thousand, six hundred forty-five".

Divisors: 1 5 31657 158285 665530097 3327650485 21068686280729 105343431403645