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105711853 = 138131681
BaseRepresentation
bin1100100110100…
…00100011101101
321100220201101211
412103100203231
5204030234403
614253434421
72422351552
oct623204355
9240821354
10105711853
1154742975
122b49ba11
1318b935c0
141007aa29
15943206d
hex64d08ed

105711853 has 4 divisors (see below), whose sum is σ = 113843548. Its totient is φ = 97580160.

The previous prime is 105711847. The next prime is 105711901. The reversal of 105711853 is 358117501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 31114084 + 74597769 = 5578^2 + 8637^2 .

It is a cyclic number.

It is not a de Polignac number, because 105711853 - 25 = 105711821 is a prime.

It is a super-2 number, since 2×1057118532 = 22349991729387218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105717853) 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 3 ways as a sum of consecutive naturals, for example, 4065828 + ... + 4065853.

It is an arithmetic number, because the mean of its divisors is an integer number (28460887).

Almost surely, 2105711853 is an apocalyptic number.

105711853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105711853 is a deficient number, since it is larger than the sum of its proper divisors (8131695).

105711853 is an equidigital number, since it uses as much as digits as its factorization.

105711853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131694.

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 105711853 is about 10281.6269626942. The cubic root of 105711853 is about 472.8331262226.

The spelling of 105711853 in words is "one hundred five million, seven hundred eleven thousand, eight hundred fifty-three".

Divisors: 1 13 8131681 105711853