10057003 has 16 divisors (see below), whose sum is σ = 11575296. Its totient is φ = 8648640.

The previous prime is 10056973. The next prime is 10057031. The reversal of 10057003 is 30075001.

It is not a de Polignac number, because 10057003 - 2¹³ = 10048811 is a prime.

It is a super-2 number, since 2×10057003² = 202286618684018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10057603) 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 15 ways as a sum of consecutive naturals, for example, 31975 + ... + 32287.

It is an arithmetic number, because the mean of its divisors is an integer number (723456).

Almost surely, 2^10057003 is an apocalyptic number.

10057003 is a deficient number, since it is larger than the sum of its proper divisors (1518293).

10057003 is a wasteful number, since it uses less digits than its factorization.

10057003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10057003 is about 3171.2778181673. The cubic root of 10057003 is about 215.8520577598.

It can be divided in two parts, 1005 and 7003, that added together give a palindrome (8008).

The spelling of 10057003 in words is "ten million, fifty-seven thousand, three".