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105060500060437 = 297417488442209
BaseRepresentation
bin10111111000110101001101…
…110010010011100100010101
3111202222200111212222011102001
4113320311031302103210111
5102232302401003413222
61011240043305315301
731062241063010305
oct2770651562234425
9452880455864361
10105060500060437
11305259a93a9589
12b949518a95b31
134681216440b2c
141bd2d5361b605
15c22ce85bee27
hex5f8d4dc93915

105060500060437 has 8 divisors (see below), whose sum is σ = 108697929413400. Its totient is φ = 101424047606784.

The previous prime is 105060500060387. The next prime is 105060500060447. The reversal of 105060500060437 is 734060005060501.

It can be written as a sum of positive squares in 4 ways, for example, as 62929093721796 + 42131406338641 = 7932786^2 + 6490871^2 .

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 105060500060437 - 211 = 105060500058389 is a prime.

It is a super-2 number, since 2×1050605000604372 (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 = 105060500060396 and 105060500060405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105060500060447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244006012 + ... + 244436197.

It is an arithmetic number, because the mean of its divisors is an integer number (13587241176675).

Almost surely, 2105060500060437 is an apocalyptic number.

It is an amenable number.

105060500060437 is a deficient number, since it is larger than the sum of its proper divisors (3637429352963).

105060500060437 is an equidigital number, since it uses as much as digits as its factorization.

105060500060437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488449655.

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 105060500060437 in words is "one hundred five trillion, sixty billion, five hundred million, sixty thousand, four hundred thirty-seven".

Divisors: 1 29 7417 215093 488442209 14164824061 3622775864153 105060500060437