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105123001 is a prime number
BaseRepresentation
bin1100100010000…
…00110010111001
321022210210122111
412101000302321
5203402414001
614233052321
72414350024
oct621006271
9238723574
10105123001
1154380515
122b2570a1
1318a18579
14dd661bb
159367851
hex6440cb9

105123001 has 2 divisors, whose sum is σ = 105123002. Its totient is φ = 105123000.

The previous prime is 105122989. The next prime is 105123017. The reversal of 105123001 is 100321501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105083001 + 40000 = 10251^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 105123001 - 27 = 105122873 is a prime.

It is a super-2 number, since 2×1051230012 = 22101690678492002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105123061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561500 + 52561501.

It is an arithmetic number, because the mean of its divisors is an integer number (52561501).

Almost surely, 2105123001 is an apocalyptic number.

It is an amenable number.

105123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105123001 is an equidigital number, since it uses as much as digits as its factorization.

105123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105123001 is about 10252.9508435377. The cubic root of 105123001 is about 471.9535423608.

Adding to 105123001 its reverse (100321501), we get a palindrome (205444502).

The spelling of 105123001 in words is "one hundred five million, one hundred twenty-three thousand, one".