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105101041 is a prime number
BaseRepresentation
bin1100100001110…
…11011011110001
321022202200112011
412100323123301
5203401213131
614232402521
72414226013
oct620733361
9238680464
10105101041
1154365a71
122b246441
1318a0b586
14dd5c1b3
1593610b1
hex643b6f1

105101041 has 2 divisors, whose sum is σ = 105101042. Its totient is φ = 105101040.

The previous prime is 105101023. The next prime is 105101063. The reversal of 105101041 is 140101501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102090816 + 3010225 = 10104^2 + 1735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105101041 is a prime.

It is a super-2 number, since 2×1051010412 = 22092457638567362, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105101011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550520 + 52550521.

It is an arithmetic number, because the mean of its divisors is an integer number (52550521).

Almost surely, 2105101041 is an apocalyptic number.

It is an amenable number.

105101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101041 is an equidigital number, since it uses as much as digits as its factorization.

105101041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 105101041 is about 10251.8798763934. The cubic root of 105101041 is about 471.9206766655.

Adding to 105101041 its reverse (140101501), we get a palindrome (245202542).

The spelling of 105101041 in words is "one hundred five million, one hundred one thousand, forty-one".