105985603 has 2 divisors, whose sum is σ = 105985604. Its totient is φ = 105985602.

The previous prime is 105985601. The next prime is 105985639. The reversal of 105985603 is 306589501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105985603 - 2¹ = 105985601 is a prime.

It is a super-2 number, since 2×105985603² = 22465896086547218, which contains 22 as substring.

Together with 105985601, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105985601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52992801 + 52992802.

It is an arithmetic number, because the mean of its divisors is an integer number (52992802).

Almost surely, 2^105985603 is an apocalyptic number.

105985603 is a deficient number, since it is larger than the sum of its proper divisors (1).

105985603 is an equidigital number, since it uses as much as digits as its factorization.

105985603 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 105985603 is about 10294.9309371166. The cubic root of 105985603 is about 473.2409218631.

The spelling of 105985603 in words is "one hundred five million, nine hundred eighty-five thousand, six hundred three".