105171823 has 2 divisors, whose sum is σ = 105171824. Its totient is φ = 105171822.

The previous prime is 105171817. The next prime is 105171827. The reversal of 105171823 is 328171501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105171823 - 2¹³ = 105163631 is a prime.

It is a super-2 number, since 2×105171823² = 22122224706286658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105171791 and 105171800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105171827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52585911 + 52585912.

It is an arithmetic number, because the mean of its divisors is an integer number (52585912).

Almost surely, 2^105171823 is an apocalyptic number.

105171823 is a deficient number, since it is larger than the sum of its proper divisors (1).

105171823 is an equidigital number, since it uses as much as digits as its factorization.

105171823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 105171823 is about 10255.3314427180. The cubic root of 105171823 is about 472.0265937688.

The spelling of 105171823 in words is "one hundred five million, one hundred seventy-one thousand, eight hundred twenty-three".