10100240320 has 56 divisors (see below), whose sum is σ = 24089794848. Its totient is φ = 4033612800.

The previous prime is 10100240303. The next prime is 10100240347. The reversal of 10100240320 is 2304200101.

It is a self number, because there is not a number n which added to its sum of digits gives 10100240320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176910 + ... + 226930.

It is an arithmetic number, because the mean of its divisors is an integer number (430174908).

Almost surely, 2^10100240320 is an apocalyptic number.

10100240320 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 10100240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044897424).

10100240320 is an abundant number, since it is smaller than the sum of its proper divisors (13989554528).

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

10100240320 is an equidigital number, since it uses as much as digits as its factorization.

10100240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50669 (or 50659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10100240320 its reverse (2304200101), we get a palindrome (12404440421).

The spelling of 10100240320 in words is "ten billion, one hundred million, two hundred forty thousand, three hundred twenty".