10104314313210 has 192 divisors, whose sum is σ = 27174440649600. Its totient is φ = 2400593255424.

The previous prime is 10104314313199. The next prime is 10104314313257. The reversal of 10104314313210 is 1231341340101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474749229 + ... + 474770511.

It is an arithmetic number, because the mean of its divisors is an integer number (141533545050).

Almost surely, 2^{10104314313210} is an apocalyptic number.

10104314313210 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 10104314313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587220324800).

10104314313210 is an abundant number, since it is smaller than the sum of its proper divisors (17070126336390).

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

10104314313210 is a wasteful number, since it uses less digits than its factorization.

10104314313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24577 (or 24564 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10104314313210 its reverse (1231341340101), we get a palindrome (11335655653311).

The spelling of 10104314313210 in words is "ten trillion, one hundred four billion, three hundred fourteen million, three hundred thirteen thousand, two hundred ten".