10352310090 has 64 divisors (see below), whose sum is σ = 25720450560. Its totient is φ = 2663539200.

The previous prime is 10352310079. The next prime is 10352310107. The reversal of 10352310090 is 9001325301.

It is a happy number.

10352310090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10352310090.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563567 + ... + 1570173.

It is an arithmetic number, because the mean of its divisors is an integer number (401882040).

Almost surely, 2^10352310090 is an apocalyptic number.

10352310090 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 10352310090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860225280).

10352310090 is an abundant number, since it is smaller than the sum of its proper divisors (15368140470).

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

10352310090 is a wasteful number, since it uses less digits than its factorization.

10352310090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447.

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 10352310090 its reverse (9001325301), we get a palindrome (19353635391).

The spelling of 10352310090 in words is "ten billion, three hundred fifty-two million, three hundred ten thousand, ninety".