Search a number
-
+
105090431 is a prime number
BaseRepresentation
bin1100100001110…
…00110101111111
321022202010222012
412100320311333
5203400343211
614232241435
72414153045
oct620706577
9238663865
10105090431
1154358aa6
122b24027b
1318a067b4
14dd58395
15935cd8b
hex6438d7f

105090431 has 2 divisors, whose sum is σ = 105090432. Its totient is φ = 105090430.

The previous prime is 105090383. The next prime is 105090439. The reversal of 105090431 is 134090501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (134090501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105090431 is a prime.

It is a super-2 number, since 2×1050904312 = 22087997375531522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105090397 and 105090406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105090439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52545215 + 52545216.

It is an arithmetic number, because the mean of its divisors is an integer number (52545216).

Almost surely, 2105090431 is an apocalyptic number.

105090431 is a deficient number, since it is larger than the sum of its proper divisors (1).

105090431 is an equidigital number, since it uses as much as digits as its factorization.

105090431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105090431 is about 10251.3623972621. The cubic root of 105090431 is about 471.9047959256.

The spelling of 105090431 in words is "one hundred five million, ninety thousand, four hundred thirty-one".