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105643309 = 1009104701
BaseRepresentation
bin1100100101111…
…11110100101101
321100210020101011
412102333310231
5204021041214
614252145221
72421644662
oct622776455
9240706334
10105643309
11546a6422
122b468211
1318b6b345
141005da69
15941bac4
hex64bfd2d

105643309 has 4 divisors (see below), whose sum is σ = 105749020. Its totient is φ = 105537600.

The previous prime is 105643283. The next prime is 105643327. The reversal of 105643309 is 903346501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 903346501 = 1723524287.

It can be written as a sum of positive squares in 2 ways, for example, as 59444100 + 46199209 = 7710^2 + 6797^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105643309 is a prime.

It is a super-2 number, since 2×1056433092 = 22321017472938962, 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 (105643409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51342 + ... + 53359.

It is an arithmetic number, because the mean of its divisors is an integer number (26437255).

Almost surely, 2105643309 is an apocalyptic number.

It is an amenable number.

105643309 is a deficient number, since it is larger than the sum of its proper divisors (105711).

105643309 is a wasteful number, since it uses less digits than its factorization.

105643309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105710.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 105643309 is about 10278.2930975916. The cubic root of 105643309 is about 472.7309084791.

The spelling of 105643309 in words is "one hundred five million, six hundred forty-three thousand, three hundred nine".

Divisors: 1 1009 104701 105643309