10801616034 has 48 divisors (see below), whose sum is σ = 23782381344. Its totient is φ = 3270402520.

The previous prime is 10801616003. The next prime is 10801616047. The reversal of 10801616034 is 43061610801.

It is a junction number, because it is equal to n+sod(n) for n = 10801615992 and 10801616010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9287137 + ... + 9288299.

It is an arithmetic number, because the mean of its divisors is an integer number (495466278).

Almost surely, 2^10801616034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10801616034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891190672).

10801616034 is an abundant number, since it is smaller than the sum of its proper divisors (12980765310).

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

10801616034 is an frugal number, since it uses more digits than its factorization.

10801616034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10801616034 in words is "ten billion, eight hundred one million, six hundred sixteen thousand, thirty-four".