10057575 has 48 divisors (see below), whose sum is σ = 18498816. Its totient is φ = 4780800.

The previous prime is 10057573. The next prime is 10057583. The reversal of 10057575 is 57575001.

It is not a de Polignac number, because 10057575 - 2¹ = 10057573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60142 + ... + 60308.

It is an arithmetic number, because the mean of its divisors is an integer number (385392).

Almost surely, 2^10057575 is an apocalyptic number.

10057575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10057575 is a deficient number, since it is larger than the sum of its proper divisors (8441241).

10057575 is a wasteful number, since it uses less digits than its factorization.

10057575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 30.

The square root of 10057575 is about 3171.3680013521. The cubic root of 10057575 is about 215.8561499344.

It can be divided in two parts, 100 and 57575, that added together give a palindrome (57675).

The spelling of 10057575 in words is "ten million, fifty-seven thousand, five hundred seventy-five".