105085547 has 12 divisors (see below), whose sum is σ = 124070760. Its totient is φ = 88726176.

The previous prime is 105085543. The next prime is 105085571. The reversal of 105085547 is 745580501.

It is not a de Polignac number, because 105085547 - 2² = 105085543 is a prime.

It is a super-2 number, since 2×105085547² = 22085944376578418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105085543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12722 + ... + 19287.

It is an arithmetic number, because the mean of its divisors is an integer number (10339230).

Almost surely, 2^105085547 is an apocalyptic number.

105085547 is a deficient number, since it is larger than the sum of its proper divisors (18985213).

105085547 is an equidigital number, since it uses as much as digits as its factorization.

105085547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32090 (or 32083 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 35.

The square root of 105085547 is about 10251.1241822544. The cubic root of 105085547 is about 471.8974853370.

The spelling of 105085547 in words is "one hundred five million, eighty-five thousand, five hundred forty-seven".