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105406901 is a prime number
BaseRepresentation
bin1100100100001…
…10000110110101
321100100020002022
412102012012311
5203441010101
614243122525
72416641515
oct622060665
9240306068
10105406901
1154554846
122b373445
1318ab7862
14dddb845
1593c1a1b
hex64861b5

105406901 has 2 divisors, whose sum is σ = 105406902. Its totient is φ = 105406900.

The previous prime is 105406891. The next prime is 105406957. The reversal of 105406901 is 109604501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81884401 + 23522500 = 9049^2 + 4850^2 .

It is an emirp because it is prime and its reverse (109604501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105406901 - 210 = 105405877 is a prime.

It is a super-2 number, since 2×1054069012 = 22221229556847602, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105406501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52703450 + 52703451.

It is an arithmetic number, because the mean of its divisors is an integer number (52703451).

Almost surely, 2105406901 is an apocalyptic number.

It is an amenable number.

105406901 is a deficient number, since it is larger than the sum of its proper divisors (1).

105406901 is an equidigital number, since it uses as much as digits as its factorization.

105406901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105406901 is about 10266.7863034155. The cubic root of 105406901 is about 472.3780202656.

The spelling of 105406901 in words is "one hundred five million, four hundred six thousand, nine hundred one".