10110315820 has 288 divisors, whose sum is σ = 26484978240. Its totient is φ = 3199795200.

The previous prime is 10110315811. The next prime is 10110315857. The reversal of 10110315820 is 2851301101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10110315791 and 10110315800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104230012 + ... + 104230108.

It is an arithmetic number, because the mean of its divisors is an integer number (91961730).

Almost surely, 2^10110315820 is an apocalyptic number.

10110315820 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 10110315820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242489120).

10110315820 is an abundant number, since it is smaller than the sum of its proper divisors (16374662420).

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

10110315820 is a wasteful number, since it uses less digits than its factorization.

10110315820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 10110315820 its reverse (2851301101), we get a palindrome (12961616921).

The spelling of 10110315820 in words is "ten billion, one hundred ten million, three hundred fifteen thousand, eight hundred twenty".