10005702 has 24 divisors (see below), whose sum is σ = 23279256. Its totient is φ = 2858688.

The previous prime is 10005683. The next prime is 10005703. The reversal of 10005702 is 20750001.

It is a happy number.

It is a super-2 number, since 2×10005702² = 200228145025608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16723 + ... + 17310.

It is an arithmetic number, because the mean of its divisors is an integer number (969969).

Almost surely, 2^10005702 is an apocalyptic number.

10005702 is an abundant number, since it is smaller than the sum of its proper divisors (13273554).

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

10005702 is a wasteful number, since it uses less digits than its factorization.

10005702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34052 (or 34045 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10005702 is about 3163.1790970478. The cubic root of 10005702 is about 215.4844098447.

Adding to 10005702 its reverse (20750001), we get a palindrome (30755703).

The spelling of 10005702 in words is "ten million, five thousand, seven hundred two".