105218983 has 2 divisors, whose sum is σ = 105218984. Its totient is φ = 105218982.

The previous prime is 105218959. The next prime is 105218987. The reversal of 105218983 is 389812501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105218983 - 2²¹ = 103121831 is a prime.

It is a super-2 number, since 2×105218983² = 22142068767108578, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105218987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52609491 + 52609492.

It is an arithmetic number, because the mean of its divisors is an integer number (52609492).

Almost surely, 2^105218983 is an apocalyptic number.

105218983 is a deficient number, since it is larger than the sum of its proper divisors (1).

105218983 is an equidigital number, since it uses as much as digits as its factorization.

105218983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 105218983 is about 10257.6304768694. The cubic root of 105218983 is about 472.0971368954.

The spelling of 105218983 in words is "one hundred five million, two hundred eighteen thousand, nine hundred eighty-three".