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105095493 = 3242127737
BaseRepresentation
bin1100100001110…
…10000101000101
321022202101220200
412100322011011
5203401023433
614232321113
72414203566
oct620720505
9238671820
10105095493
1154361888
122b243199
1318a08ba9
14dd5a16d
15935e613
hex643a145

105095493 has 12 divisors (see below), whose sum is σ = 152170668. Its totient is φ = 69894720.

The previous prime is 105095491. The next prime is 105095509. The reversal of 105095493 is 394590501.

105095493 is a `hidden beast` number, since 10 + 509 + 54 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37970244 + 67125249 = 6162^2 + 8193^2 .

It is not a de Polignac number, because 105095493 - 21 = 105095491 is a prime.

It is a super-2 number, since 2×1050954932 = 22090125297826098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105095491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10080 + ... + 17657.

It is an arithmetic number, because the mean of its divisors is an integer number (12680889).

Almost surely, 2105095493 is an apocalyptic number.

It is an amenable number.

105095493 is a deficient number, since it is larger than the sum of its proper divisors (47075175).

105095493 is a wasteful number, since it uses less digits than its factorization.

105095493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28164 (or 28161 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105095493 is about 10251.6092883020. The cubic root of 105095493 is about 471.9123727136.

The spelling of 105095493 in words is "one hundred five million, ninety-five thousand, four hundred ninety-three".

Divisors: 1 3 9 421 1263 3789 27737 83211 249633 11677277 35031831 105095493