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105010610119 is a prime number
BaseRepresentation
bin110000111001100011…
…1101011111111000111
3101001001100222201011021
41201303013223333013
53210030204010434
6120124033452011
710405155313162
oct1416307537707
9331040881137
10105010610119
114059782a6a8
1218427a11007
139b969147bc
1451226c4ad9
152ae9089cb4
hex18731ebfc7

105010610119 has 2 divisors, whose sum is σ = 105010610120. Its totient is φ = 105010610118.

The previous prime is 105010610101. The next prime is 105010610129. The reversal of 105010610119 is 911016010501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105010610119 is a prime.

It is a super-2 number, since 2×1050106101192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105010610093 and 105010610102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105010610129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505305059 + 52505305060.

It is an arithmetic number, because the mean of its divisors is an integer number (52505305060).

Almost surely, 2105010610119 is an apocalyptic number.

105010610119 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010610119 is an equidigital number, since it uses as much as digits as its factorization.

105010610119 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 25.

The spelling of 105010610119 in words is "one hundred five billion, ten million, six hundred ten thousand, one hundred nineteen".