105068985 has 48 divisors (see below), whose sum is σ = 196981056. Its totient is φ = 47682432.

The previous prime is 105068981. The next prime is 105069047. The reversal of 105068985 is 589860501.

It is not a de Polignac number, because 105068985 - 2² = 105068981 is a prime.

It is a super-2 number, since 2×105068985² = 22078983217860450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105068981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119367 + ... + 120243.

It is an arithmetic number, because the mean of its divisors is an integer number (4103772).

Almost surely, 2^105068985 is an apocalyptic number.

105068985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105068985 is a deficient number, since it is larger than the sum of its proper divisors (91912071).

105068985 is a wasteful number, since it uses less digits than its factorization.

105068985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 105068985 is about 10250.3163365820. The cubic root of 105068985 is about 471.8726929115.

It can be divided in two parts, 10506 and 8985, that added together give a palindrome (19491).

The spelling of 105068985 in words is "one hundred five million, sixty-eight thousand, nine hundred eighty-five".