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105352643 = 11379153
BaseRepresentation
bin1100100011110…
…00110111000011
321100020110122202
412101320313003
5203432241033
614242023415
72416324364
oct621706703
9240213582
10105352643
1154518000
122b347b6b
1318a98c56
14ddc5b6b
1593b08e8
hex6478dc3

105352643 has 8 divisors (see below), whose sum is σ = 115881456. Its totient is φ = 95773920.

The previous prime is 105352633. The next prime is 105352669. The reversal of 105352643 is 346253501.

It is not a de Polignac number, because 105352643 - 212 = 105348547 is a prime.

It is a super-2 number, since 2×1053526432 = 22198358774170898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105352613) 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, 38246 + ... + 40907.

It is an arithmetic number, because the mean of its divisors is an integer number (14485182).

Almost surely, 2105352643 is an apocalyptic number.

105352643 is a deficient number, since it is larger than the sum of its proper divisors (10528813).

105352643 is an frugal number, since it uses more digits than its factorization.

105352643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79186 (or 79164 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 105352643 is about 10264.1435590116. The cubic root of 105352643 is about 472.2969544614.

The spelling of 105352643 in words is "one hundred five million, three hundred fifty-two thousand, six hundred forty-three".

Divisors: 1 11 121 1331 79153 870683 9577513 105352643