10430010 has 72 divisors (see below), whose sum is σ = 28878876. Its totient is φ = 2611200.

The previous prime is 10429987. The next prime is 10430011. The reversal of 10430010 is 1003401.

It can be written as a sum of positive squares in 6 ways, for example, as 9941409 + 488601 = 3153^2 + 699^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10429974 and 10430001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430011) 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 35 ways as a sum of consecutive naturals, for example, 25810 + ... + 26210.

Almost surely, 2^10430010 is an apocalyptic number.

10430010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439438).

10430010 is an abundant number, since it is smaller than the sum of its proper divisors (18448866).

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

10430010 is a wasteful number, since it uses less digits than its factorization.

10430010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10430010 is about 3229.5526005935. The cubic root of 10430010 is about 218.4883281978.

Adding to 10430010 its reverse (1003401), we get a palindrome (11433411).

The spelling of 10430010 in words is "ten million, four hundred thirty thousand, ten".