10829103390 has 384 divisors, whose sum is σ = 35568000000. Its totient is φ = 2276999424.

The previous prime is 10829103367. The next prime is 10829103401. The reversal of 10829103390 is 9330192801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21701361 + ... + 21701859.

It is an arithmetic number, because the mean of its divisors is an integer number (92625000).

Almost surely, 2^10829103390 is an apocalyptic number.

10829103390 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 10829103390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784000000).

10829103390 is an abundant number, since it is smaller than the sum of its proper divisors (24738896610).

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

10829103390 is a wasteful number, since it uses less digits than its factorization.

10829103390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10829103390 in words is "ten billion, eight hundred twenty-nine million, one hundred three thousand, three hundred ninety".