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105319253 = 138101481
BaseRepresentation
bin1100100011100…
…00101101010101
321100011202212002
412101300231111
5203430204003
614241205045
72416125134
oct621605525
9240152762
10105319253
11544a4a06
122b330785
1318a869b0
14ddb791b
1593a5a88
hex6470b55

105319253 has 4 divisors (see below), whose sum is σ = 113420748. Its totient is φ = 97217760.

The previous prime is 105319229. The next prime is 105319259. The reversal of 105319253 is 352913501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 352913501 = 1015934739.

It can be written as a sum of positive squares in 2 ways, for example, as 16337764 + 88981489 = 4042^2 + 9433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105319253 is a prime.

It is a super-2 number, since 2×1053192532 = 22184290104956018, 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 (105319259) 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, 4050728 + ... + 4050753.

It is an arithmetic number, because the mean of its divisors is an integer number (28355187).

Almost surely, 2105319253 is an apocalyptic number.

105319253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105319253 is a deficient number, since it is larger than the sum of its proper divisors (8101495).

105319253 is an equidigital number, since it uses as much as digits as its factorization.

105319253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101494.

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 105319253 is about 10262.5168940178. The cubic root of 105319253 is about 472.2470532876.

The spelling of 105319253 in words is "one hundred five million, three hundred nineteen thousand, two hundred fifty-three".

Divisors: 1 13 8101481 105319253