10344313404100 has 144 divisors (see below), whose sum is σ = 25242368884992. Its totient is φ = 3650846538240.

The previous prime is 10344313404097. The next prime is 10344313404121. The reversal of 10344313404100 is 140431344301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43325649 + ... + 43563751.

It is an arithmetic number, because the mean of its divisors is an integer number (175294228368).

Almost surely, 2^{10344313404100} is an apocalyptic number.

10344313404100 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 10344313404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621184442496).

10344313404100 is an abundant number, since it is smaller than the sum of its proper divisors (14898055480892).

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

10344313404100 is a wasteful number, since it uses less digits than its factorization.

10344313404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239606 (or 239599 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10344313404100 its reverse (140431344301), we get a palindrome (10484744748401).

The spelling of 10344313404100 in words is "ten trillion, three hundred forty-four billion, three hundred thirteen million, four hundred four thousand, one hundred".