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105134743 = 727512857
BaseRepresentation
bin1100100010000…
…11101010010111
321022211101202101
412101003222113
5203403302433
614233222531
72414426200
oct621035227
9238741671
10105134743
115438931a
122b261a47
1318a20a0c
14dd6a5a7
15936b07d
hex6443a97

105134743 has 12 divisors (see below), whose sum is σ = 122505312. Its totient is φ = 89964000.

The previous prime is 105134737. The next prime is 105134747. The reversal of 105134743 is 347431501.

It is a de Polignac number, because none of the positive numbers 2k-105134743 is a prime.

It is a super-2 number, since 2×1051347432 = 22106628371352098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105134747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35371 + ... + 38227.

It is an arithmetic number, because the mean of its divisors is an integer number (10208776).

Almost surely, 2105134743 is an apocalyptic number.

105134743 is a deficient number, since it is larger than the sum of its proper divisors (17370569).

105134743 is an equidigital number, since it uses as much as digits as its factorization.

105134743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 105134743 is about 10253.5234431877. The cubic root of 105134743 is about 471.9711137522.

The spelling of 105134743 in words is "one hundred five million, one hundred thirty-four thousand, seven hundred forty-three".

Divisors: 1 7 49 751 2857 5257 19999 36799 139993 2145607 15019249 105134743