10104414320 has 640 divisors, whose sum is σ = 34497792000. Its totient is φ = 2647572480.

The previous prime is 10104414277. The next prime is 10104414329. The reversal of 10104414320 is 2341440101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10104414292 and 10104414301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104414329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44123966 + ... + 44124194.

It is an arithmetic number, because the mean of its divisors is an integer number (53902800).

Almost surely, 2^10104414320 is an apocalyptic number.

10104414320 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 10104414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896000).

10104414320 is an abundant number, since it is smaller than the sum of its proper divisors (24393377680).

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

10104414320 is a wasteful number, since it uses less digits than its factorization.

10104414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10104414320 its reverse (2341440101), we get a palindrome (12445854421).

It can be divided in two parts, 10104 and 414320, that added together give a palindrome (424424).

The spelling of 10104414320 in words is "ten billion, one hundred four million, four hundred fourteen thousand, three hundred twenty".