12105356010 has 128 divisors (see below), whose sum is σ = 32157554688. Its totient is φ = 2892000000.

The previous prime is 12105355993. The next prime is 12105356023. The reversal of 12105356010 is 1065350121.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8365107 + ... + 8366553.

It is an arithmetic number, because the mean of its divisors is an integer number (251230896).

Almost surely, 2^12105356010 is an apocalyptic number.

12105356010 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 12105356010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078777344).

12105356010 is an abundant number, since it is smaller than the sum of its proper divisors (20052198678).

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

12105356010 is a wasteful number, since it uses less digits than its factorization.

12105356010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 12105356010 in words is "twelve billion, one hundred five million, three hundred fifty-six thousand, ten".