10110034210304 has 160 divisors (see below), whose sum is σ = 23374944907776. Its totient is φ = 4278705315840.

The previous prime is 10110034210259. The next prime is 10110034210333. The reversal of 10110034210304 is 40301243001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779667629 + ... + 779680595.

Almost surely, 2^{10110034210304} is an apocalyptic number.

10110034210304 is a gapful number since it is divisible by the number (14) 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 10110034210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687472453888).

10110034210304 is an abundant number, since it is smaller than the sum of its proper divisors (13264910697472).

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

10110034210304 is an equidigital number, since it uses as much as digits as its factorization.

10110034210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10110034210304 its reverse (40301243001101), we get a palindrome (50411277211405).

The spelling of 10110034210304 in words is "ten trillion, one hundred ten billion, thirty-four million, two hundred ten thousand, three hundred four".