10104756480 has 1512 divisors, whose sum is σ = 48135746232. Its totient is φ = 2006581248.

The previous prime is 10104756469. The next prime is 10104756503. The reversal of 10104756480 is 8465740101.

It is a happy number.

10104756480 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 7 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 740710656 + 9364045824 = 27216^2 + 96768^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×10104756480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 594397432 + ... + 594397448.

It is an arithmetic number, because the mean of its divisors is an integer number (31835811).

Almost surely, 2^10104756480 is an apocalyptic number.

10104756480 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 10104756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067873116).

10104756480 is an abundant number, since it is smaller than the sum of its proper divisors (38030989752).

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

10104756480 is an equidigital number, since it uses as much as digits as its factorization.

10104756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10104756480 in words is "ten billion, one hundred four million, seven hundred fifty-six thousand, four hundred eighty".