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105234788737 = 1311173724513
BaseRepresentation
bin110001000000001111…
…0110111000110000001
3101001121222211011102001
41202000132313012001
53211010101214422
6120202202424001
710413546642151
oct1420036670601
9331558734361
10105234788737
11406a2327391
121848ab02001
139c011b6180
14514439c761
152b0dabd227
hex18807b7181

105234788737 has 8 divisors (see below), whose sum is σ = 113340072104. Its totient is φ = 97130976768.

The previous prime is 105234788689. The next prime is 105234788741. The reversal of 105234788737 is 737887432501.

It can be written as a sum of positive squares in 4 ways, for example, as 1725239296 + 103509549441 = 41536^2 + 321729^2 .

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 105234788737 - 235 = 70875050369 is a prime.

It is a super-2 number, since 2×1052347887372 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105234788537) 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, 217008 + ... + 507505.

It is an arithmetic number, because the mean of its divisors is an integer number (14167509013).

Almost surely, 2105234788737 is an apocalyptic number.

It is an amenable number.

105234788737 is a deficient number, since it is larger than the sum of its proper divisors (8105283367).

105234788737 is a wasteful number, since it uses less digits than its factorization.

105234788737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735699.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 105234788737 in words is "one hundred five billion, two hundred thirty-four million, seven hundred eighty-eight thousand, seven hundred thirty-seven".

Divisors: 1 13 11173 145249 724513 9418669 8094983749 105234788737