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105101023 is a prime number
BaseRepresentation
bin1100100001110…
…11011011011111
321022202200111111
412100323123133
5203401213043
614232402451
72414225656
oct620733337
9238680444
10105101023
1154365a55
122b246427
1318a0b571
14dd5c19d
15936109d
hex643b6df

105101023 has 2 divisors, whose sum is σ = 105101024. Its totient is φ = 105101022.

The previous prime is 105101011. The next prime is 105101041. The reversal of 105101023 is 320101501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105101023 is a prime.

It is a super-2 number, since 2×1051010232 = 22092450071293058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105100994 and 105101012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105101063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550511 + 52550512.

It is an arithmetic number, because the mean of its divisors is an integer number (52550512).

Almost surely, 2105101023 is an apocalyptic number.

105101023 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101023 is an equidigital number, since it uses as much as digits as its factorization.

105101023 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 105101023 is about 10251.8789985056. The cubic root of 105101023 is about 471.9206497246.

Adding to 105101023 its reverse (320101501), we get a palindrome (425202524).

The spelling of 105101023 in words is "one hundred five million, one hundred one thousand, twenty-three".