105170385 has 16 divisors (see below), whose sum is σ = 174075840. Its totient is φ = 54156480.

The previous prime is 105170363. The next prime is 105170393. The reversal of 105170385 is 583071501.

It is not a de Polignac number, because 105170385 - 2⁵ = 105170353 is a prime.

It is a super-2 number, since 2×105170385² = 22121619762096450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120451 + ... + 121320.

It is an arithmetic number, because the mean of its divisors is an integer number (10879740).

Almost surely, 2^105170385 is an apocalyptic number.

105170385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105170385 is a deficient number, since it is larger than the sum of its proper divisors (68905455).

105170385 is a wasteful number, since it uses less digits than its factorization.

105170385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241808.

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 105170385 is about 10255.2613326039. The cubic root of 105170385 is about 472.0244424405.

The spelling of 105170385 in words is "one hundred five million, one hundred seventy thousand, three hundred eighty-five".