10007830 has 16 divisors (see below), whose sum is σ = 20587680. Its totient is φ = 3431232.

The previous prime is 10007819. The next prime is 10007839. The reversal of 10007830 is 3870001.

It is a super-2 number, since 2×10007830² = 200313322617800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10007798 and 10007807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007839) 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 7 ways as a sum of consecutive naturals, for example, 71415 + ... + 71554.

It is an arithmetic number, because the mean of its divisors is an integer number (1286730).

Almost surely, 2^10007830 is an apocalyptic number.

10007830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10007830 is an abundant number, since it is smaller than the sum of its proper divisors (10579850).

10007830 is a wasteful number, since it uses less digits than its factorization.

10007830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142983.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10007830 is about 3163.5154496225. The cubic root of 10007830 is about 215.4996850788.

Adding to 10007830 its reverse (3870001), we get a palindrome (13877831).

The spelling of 10007830 in words is "ten million, seven thousand, eight hundred thirty".