10005630 has 32 divisors (see below), whose sum is σ = 24149664. Its totient is φ = 2653056.

The previous prime is 10005629. The next prime is 10005631. The reversal of 10005630 is 3650001.

It is an interprime number because it is at equal distance from previous prime (10005629) and next prime (10005631).

It is a super-2 number, since 2×10005630² = 200225263393800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005631) 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, 5064 + ... + 6756.

It is an arithmetic number, because the mean of its divisors is an integer number (754677).

Almost surely, 2^10005630 is an apocalyptic number.

10005630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005630 is an abundant number, since it is smaller than the sum of its proper divisors (14144034).

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

10005630 is a wasteful number, since it uses less digits than its factorization.

10005630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10005630 is about 3163.1677160720. The cubic root of 10005630 is about 215.4838929756.

Adding to 10005630 its reverse (3650001), we get a palindrome (13655631).

The spelling of 10005630 in words is "ten million, five thousand, six hundred thirty".