105385160 has 16 divisors (see below), whose sum is σ = 237116700. Its totient is φ = 42154048.

The previous prime is 105385127. The next prime is 105385207. The reversal of 105385160 is 61583501.

It can be written as a sum of positive squares in 2 ways, for example, as 104816644 + 568516 = 10238^2 + 754^2 .

It is a super-2 number, since 2×105385160² = 22212063896451200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1317275 + ... + 1317354.

Almost surely, 2^105385160 is an apocalyptic number.

105385160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105385160 is an abundant number, since it is smaller than the sum of its proper divisors (131731540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105385160 is a wasteful number, since it uses less digits than its factorization.

105385160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634640 (or 2634636 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105385160 is about 10265.7274462164. The cubic root of 105385160 is about 472.3455408086.

The spelling of 105385160 in words is "one hundred five million, three hundred eighty-five thousand, one hundred sixty".