10057005 has 36 divisors (see below), whose sum is σ = 20282652. Its totient is φ = 4596480.

The previous prime is 10056973. The next prime is 10057031. The reversal of 10057005 is 50075001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3493161 + 6563844 = 1869^2 + 2562^2 .

It is not a de Polignac number, because 10057005 - 2⁵ = 10056973 is a prime.

It is a super-2 number, since 2×10057005² = 202286699140050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 76 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (563407).

Almost surely, 2^10057005 is an apocalyptic number.

10057005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10057005 is an abundant number, since it is smaller than the sum of its proper divisors (10225647).

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

10057005 is a wasteful number, since it uses less digits than its factorization.

10057005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4576 counting only the distinct ones).

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

The square root of 10057005 is about 3171.2781334976. The cubic root of 10057005 is about 215.8520720684.

The spelling of 10057005 in words is "ten million, fifty-seven thousand, five".