10009350 has 144 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 2338560.

The previous prime is 10009343. The next prime is 10009369. The reversal of 10009350 is 5390001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 169621 + ... + 169679.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 2^10009350 is an apocalyptic number.

10009350 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 10009350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

10009350 is an abundant number, since it is smaller than the sum of its proper divisors (20457450).

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

10009350 is a wasteful number, since it uses less digits than its factorization.

10009350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10009350 is about 3163.7556795682. The cubic root of 10009350 is about 215.5105946346.

Adding to 10009350 its reverse (5390001), we get a palindrome (15399351).

The spelling of 10009350 in words is "ten million, nine thousand, three hundred fifty".