10005057 has 6 divisors (see below), whose sum is σ = 14451762. Its totient is φ = 6670032.

The previous prime is 10005053. The next prime is 10005089. The reversal of 10005057 is 75050001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 2187441 = 2796^2 + 1479^2 .

It is not a de Polignac number, because 10005057 - 2² = 10005053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555828 + ... + 555845.

It is an arithmetic number, because the mean of its divisors is an integer number (2408627).

Almost surely, 2^10005057 is an apocalyptic number.

It is an amenable number.

10005057 is a deficient number, since it is larger than the sum of its proper divisors (4446705).

10005057 is a wasteful number, since it uses less digits than its factorization.

10005057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111679 (or 1111676 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 10005057 is about 3163.0771410132. The cubic root of 10005057 is about 215.4797794706.

Adding to 10005057 its reverse (75050001), we get a palindrome (85055058).

The spelling of 10005057 in words is "ten million, five thousand, fifty-seven".