105285851 has 6 divisors (see below), whose sum is σ = 115727556. Its totient is φ = 95714300.

The previous prime is 105285847. The next prime is 105285853. The reversal of 105285851 is 158582501.

It is not a de Polignac number, because 105285851 - 2² = 105285847 is a prime.

It is a super-2 number, since 2×105285851² = 22170220841588402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105285853) 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 in 5 ways as a sum of consecutive naturals, for example, 434945 + ... + 435186.

It is an arithmetic number, because the mean of its divisors is an integer number (19287926).

Almost surely, 2^105285851 is an apocalyptic number.

105285851 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105285851 is a deficient number, since it is larger than the sum of its proper divisors (10441705).

105285851 is an equidigital number, since it uses as much as digits as its factorization.

105285851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870153 (or 870142 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 35.

The square root of 105285851 is about 10260.8893864031. The cubic root of 105285851 is about 472.1971236262.

The spelling of 105285851 in words is "one hundred five million, two hundred eighty-five thousand, eight hundred fifty-one".