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105090133 is a prime number
BaseRepresentation
bin1100100001110…
…00110001010101
321022202010120011
412100320301111
5203400341013
614232240221
72414152141
oct620706125
9238663504
10105090133
1154358855
122b240071
1318a06615
14dd58221
15935cc3d
hex6438c55

105090133 has 2 divisors, whose sum is σ = 105090134. Its totient is φ = 105090132.

The previous prime is 105090131. The next prime is 105090137. The reversal of 105090133 is 331090501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79263409 + 25826724 = 8903^2 + 5082^2 .

It is a cyclic number.

It is not a de Polignac number, because 105090133 - 21 = 105090131 is a prime.

It is a super-2 number, since 2×1050901332 = 22087872107915378, which contains 22 as substring.

Together with 105090131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105090131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52545066 + 52545067.

It is an arithmetic number, because the mean of its divisors is an integer number (52545067).

Almost surely, 2105090133 is an apocalyptic number.

It is an amenable number.

105090133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105090133 is an equidigital number, since it uses as much as digits as its factorization.

105090133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 105090133 is about 10251.3478625984. The cubic root of 105090133 is about 471.9043498725.

The spelling of 105090133 in words is "one hundred five million, ninety thousand, one hundred thirty-three".