Search a number
-
+
105041701 is a prime number
BaseRepresentation
bin1100100001011…
…00111100100101
321022122200010101
412100230330211
5203342313301
614231224101
72413561012
oct620547445
9238580111
10105041701
1154325426
122b218031
13189ba56b
14dd44709
15934d701
hex642cf25

105041701 has 2 divisors, whose sum is σ = 105041702. Its totient is φ = 105041700.

The previous prime is 105041689. The next prime is 105041711. The reversal of 105041701 is 107140501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73513476 + 31528225 = 8574^2 + 5615^2 .

It is a cyclic number.

It is not a de Polignac number, because 105041701 - 25 = 105041669 is a prime.

It is a super-2 number, since 2×1050417012 = 22067517897946802, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105041711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52520850 + 52520851.

It is an arithmetic number, because the mean of its divisors is an integer number (52520851).

Almost surely, 2105041701 is an apocalyptic number.

It is an amenable number.

105041701 is a deficient number, since it is larger than the sum of its proper divisors (1).

105041701 is an equidigital number, since it uses as much as digits as its factorization.

105041701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 105041701 is about 10248.9853644153. The cubic root of 105041701 is about 471.8318445454.

The spelling of 105041701 in words is "one hundred five million, forty-one thousand, seven hundred one".