10104350442200 has 96 divisors (see below), whose sum is σ = 26856794626560. Its totient is φ = 3463304592000.

The previous prime is 10104350442163. The next prime is 10104350442227. The reversal of 10104350442200 is 224405340101.

It is a self number, because there is not a number n which added to its sum of digits gives 10104350442200.

It is a congruent number.

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, 3566225 + ... + 5738175.

It is an arithmetic number, because the mean of its divisors is an integer number (279758277360).

Almost surely, 2^{10104350442200} is an apocalyptic number.

10104350442200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104350442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428397313280).

10104350442200 is an abundant number, since it is smaller than the sum of its proper divisors (16752444184360).

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

10104350442200 is a wasteful number, since it uses less digits than its factorization.

10104350442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175297 (or 2175288 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10104350442200 its reverse (224405340101), we get a palindrome (10328755782301).

The spelling of 10104350442200 in words is "ten trillion, one hundred four billion, three hundred fifty million, four hundred forty-two thousand, two hundred".