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105090061 = 1091735573
BaseRepresentation
bin1100100001110…
…00110000001101
321022202010110111
412100320300031
5203400340221
614232240021
72414152006
oct620706015
9238663414
10105090061
115435879a
122b240011
1318a0658b
14dd581ad
15935cbe1
hex6438c0d

105090061 has 8 divisors (see below), whose sum is σ = 106686360. Its totient is φ = 103505472.

The previous prime is 105090053. The next prime is 105090067. The reversal of 105090061 is 160090501.

It can be written as a sum of positive squares in 4 ways, for example, as 19527561 + 85562500 = 4419^2 + 9250^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105090061 - 23 = 105090053 is a prime.

It is a super-2 number, since 2×1050900612 = 22087841841967442, 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 (105090067) 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 7 ways as a sum of consecutive naturals, for example, 16071 + ... + 21643.

It is an arithmetic number, because the mean of its divisors is an integer number (13335795).

Almost surely, 2105090061 is an apocalyptic number.

It is an amenable number.

105090061 is a deficient number, since it is larger than the sum of its proper divisors (1596299).

105090061 is a wasteful number, since it uses less digits than its factorization.

105090061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105090061 is about 10251.3443508644. The cubic root of 105090061 is about 471.9042421011.

The spelling of 105090061 in words is "one hundred five million, ninety thousand, sixty-one".

Divisors: 1 109 173 5573 18857 607457 964129 105090061