10106004480 has 704 divisors, whose sum is σ = 39220651008. Its totient is φ = 2188247040.

The previous prime is 10106004457. The next prime is 10106004511. The reversal of 10106004480 is 8440060101.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10106004480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94448587 + ... + 94448693.

It is an arithmetic number, because the mean of its divisors is an integer number (55711152).

Almost surely, 2^10106004480 is an apocalyptic number.

10106004480 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 10106004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19610325504).

10106004480 is an abundant number, since it is smaller than the sum of its proper divisors (29114646528).

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

10106004480 is a wasteful number, since it uses less digits than its factorization.

10106004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10106004480 its reverse (8440060101), we get a palindrome (18546064581).

The spelling of 10106004480 in words is "ten billion, one hundred six million, four thousand, four hundred eighty".