105257385 has 24 divisors (see below), whose sum is σ = 188739720. Its totient is φ = 54200832.

The previous prime is 105257381. The next prime is 105257389. The reversal of 105257385 is 583752501.

105257385 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 573 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (105257381) and next prime (105257389).

It can be written as a sum of positive squares in 4 ways, for example, as 46090521 + 59166864 = 6789^2 + 7692^2 .

It is not a de Polignac number, because 105257385 - 2² = 105257381 is a prime.

It is a super-2 number, since 2×105257385² = 22158234194076450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105257381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39024 + ... + 41633.

It is an arithmetic number, because the mean of its divisors is an integer number (7864155).

Almost surely, 2^105257385 is an apocalyptic number.

105257385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105257385 is a deficient number, since it is larger than the sum of its proper divisors (83482335).

105257385 is a wasteful number, since it uses less digits than its factorization.

105257385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80697 (or 80694 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 105257385 is about 10259.5021809053. The cubic root of 105257385 is about 472.1545640142.

The spelling of 105257385 in words is "one hundred five million, two hundred fifty-seven thousand, three hundred eighty-five".