10104782400 has 210 divisors, whose sum is σ = 37143114690. Its totient is φ = 2694574080.

The previous prime is 10104782381. The next prime is 10104782411. The reversal of 10104782400 is 428740101.

It can be written as a sum of positive squares in 3 ways, for example, as 1017354816 + 9087427584 = 31896^2 + 95328^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 90616 + ... + 168584.

Almost surely, 2^10104782400 is an apocalyptic number.

10104782400 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 10104782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571557345).

10104782400 is an abundant number, since it is smaller than the sum of its proper divisors (27038332290).

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

10104782400 is an equidigital number, since it uses as much as digits as its factorization.

10104782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78003 (or 77979 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10104782400 in words is "ten billion, one hundred four million, seven hundred eighty-two thousand, four hundred".